<?xml version='1.0' encoding='utf-8'?>
<FilingSummary>
  <Version>3.26.1</Version>
  <ProcessingTime/>
  <ReportFormat>html</ReportFormat>
  <ContextCount>726</ContextCount>
  <ElementCount>672</ElementCount>
  <EntityCount>1</EntityCount>
  <FootnotesReported>false</FootnotesReported>
  <SegmentCount>128</SegmentCount>
  <ScenarioCount>0</ScenarioCount>
  <TuplesReported>false</TuplesReported>
  <UnitCount>9</UnitCount>
  <MyReports>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R1.htm</HtmlFileName>
      <LongName>0000001 - Document - Audit Information</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/AuditInformation</Role>
      <ShortName>Audit Information</ShortName>
      <MenuCategory>Cover</MenuCategory>
      <Position>1</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R2.htm</HtmlFileName>
      <LongName>9952151 - Document - Cover</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/Cover</Role>
      <ShortName>Cover</ShortName>
      <MenuCategory>Cover</MenuCategory>
      <Position>2</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R3.htm</HtmlFileName>
      <LongName>9952152 - Statement - Consolidated Balance Sheets</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/ConsolidatedBalanceSheets</Role>
      <ShortName>Consolidated Balance Sheets</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>3</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R4.htm</HtmlFileName>
      <LongName>9952153 - Statement - Consolidated Balance Sheets (Parenthetical)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/ConsolidatedBalanceSheetsParenthetical</Role>
      <ShortName>Consolidated Balance Sheets (Parenthetical)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>4</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R5.htm</HtmlFileName>
      <LongName>9952154 - Statement - Consolidated Statements of Income</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/ConsolidatedStatementsofIncome</Role>
      <ShortName>Consolidated Statements of Income</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>5</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R6.htm</HtmlFileName>
      <LongName>9952155 - Statement - Consolidated Statements of Comprehensive Income</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/ConsolidatedStatementsofComprehensiveIncome</Role>
      <ShortName>Consolidated Statements of Comprehensive Income</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>6</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R7.htm</HtmlFileName>
      <LongName>9952156 - Statement - Consolidated Statement of Changes in Stockholders' Equity</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/ConsolidatedStatementofChangesinStockholdersEquity</Role>
      <ShortName>Consolidated Statement of Changes in Stockholders' Equity</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>7</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R8.htm</HtmlFileName>
      <LongName>9952157 - Statement - Consolidated Statement of Changes in Stockholders' Equity (Parenthetical)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/ConsolidatedStatementofChangesinStockholdersEquityParenthetical</Role>
      <ShortName>Consolidated Statement of Changes in Stockholders' Equity (Parenthetical)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>8</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R9.htm</HtmlFileName>
      <LongName>9952158 - Statement - Consolidated Statements of Cash Flows</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/ConsolidatedStatementsofCashFlows</Role>
      <ShortName>Consolidated Statements of Cash Flows</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>9</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R10.htm</HtmlFileName>
      <LongName>9952159 - Statement - Deposits</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/Deposits</Role>
      <ShortName>Deposits</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>10</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R11.htm</HtmlFileName>
      <LongName>9952160 - Disclosure - Summary of Significant Accounting Policies</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/SummaryofSignificantAccountingPolicies</Role>
      <ShortName>Summary of Significant Accounting Policies</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>11</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R12.htm</HtmlFileName>
      <LongName>9952161 - Disclosure - Investment Securities</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/InvestmentSecurities</Role>
      <ShortName>Investment Securities</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>12</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R13.htm</HtmlFileName>
      <LongName>9952162 - Disclosure - Loans and Allowance for Credit Losses</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/LoansandAllowanceforCreditLosses</Role>
      <ShortName>Loans and Allowance for Credit Losses</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>13</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R14.htm</HtmlFileName>
      <LongName>9952163 - Disclosure - Mortgage Banking Activities</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/MortgageBankingActivities</Role>
      <ShortName>Mortgage Banking Activities</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>14</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R15.htm</HtmlFileName>
      <LongName>9952164 - Disclosure - Land, Buildings, and Equipment</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/LandBuildingsandEquipment</Role>
      <ShortName>Land, Buildings, and Equipment</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>15</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R16.htm</HtmlFileName>
      <LongName>9952165 - Disclosure - Goodwill and Intangible Assets</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/GoodwillandIntangibleAssets</Role>
      <ShortName>Goodwill and Intangible Assets</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>16</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R17.htm</HtmlFileName>
      <LongName>9952166 - Disclosure - Income Taxes</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/IncomeTaxes</Role>
      <ShortName>Income Taxes</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>17</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R18.htm</HtmlFileName>
      <LongName>9952167 - Disclosure - Customer Repurchase Agreements</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/CustomerRepurchaseAgreements</Role>
      <ShortName>Customer Repurchase Agreements</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>18</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R19.htm</HtmlFileName>
      <LongName>9952168 - Disclosure - Employee Benefit Plans</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/EmployeeBenefitPlans</Role>
      <ShortName>Employee Benefit Plans</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>19</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R20.htm</HtmlFileName>
      <LongName>9952169 - Disclosure - Stock-Based Compensation</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/StockBasedCompensation</Role>
      <ShortName>Stock-Based Compensation</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>20</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R21.htm</HtmlFileName>
      <LongName>9952170 - Disclosure - Earnings Per Share</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/EarningsPerShare</Role>
      <ShortName>Earnings Per Share</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>21</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R22.htm</HtmlFileName>
      <LongName>9952171 - Disclosure - Capital Adequacy</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/CapitalAdequacy</Role>
      <ShortName>Capital Adequacy</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>22</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R23.htm</HtmlFileName>
      <LongName>9952172 - Disclosure - Leasing</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/Leasing</Role>
      <ShortName>Leasing</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>23</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R24.htm</HtmlFileName>
      <LongName>9952173 - Disclosure - Commitments, Contingencies, and Guarantees</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/CommitmentsContingenciesandGuarantees</Role>
      <ShortName>Commitments, Contingencies, and Guarantees</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>24</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R25.htm</HtmlFileName>
      <LongName>9952174 - Disclosure - Fair Value Disclosures</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/FairValueDisclosures</Role>
      <ShortName>Fair Value Disclosures</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>25</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R26.htm</HtmlFileName>
      <LongName>9952175 - Disclosure - Accumulated Other Comprehensive Loss</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/AccumulatedOtherComprehensiveLoss</Role>
      <ShortName>Accumulated Other Comprehensive Loss</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>26</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R27.htm</HtmlFileName>
      <LongName>9952176 - Disclosure - Parent Company Condensed Financial Statements</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/ParentCompanyCondensedFinancialStatements</Role>
      <ShortName>Parent Company Condensed Financial Statements</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>27</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R28.htm</HtmlFileName>
      <LongName>9952177 - Disclosure - Business Segment Reporting</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/BusinessSegmentReporting</Role>
      <ShortName>Business Segment Reporting</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>28</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R29.htm</HtmlFileName>
      <LongName>9952178 - Disclosure - Capital Structure, Share Reclassification, Stock Split Effective in the Form of a Stock Dividend</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/CapitalStructureShareReclassificationStockSplitEffectiveintheFormofaStockDividend</Role>
      <ShortName>Capital Structure, Share Reclassification, Stock Split Effective in the Form of a Stock Dividend</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>29</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R30.htm</HtmlFileName>
      <LongName>995445 - Disclosure - Insider Trading Arrangements</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/ecd/role/InsiderTradingArrangements</Role>
      <ShortName>Insider Trading Arrangements</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>30</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R31.htm</HtmlFileName>
      <LongName>995447 - Disclosure - Insider Trading Policies and Procedures</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/ecd/role/InsiderTradingPoliciesProc</Role>
      <ShortName>Insider Trading Policies and Procedures</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>31</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R32.htm</HtmlFileName>
      <LongName>995550 - Disclosure - Cybersecurity Risk Management and Strategy Disclosure</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/cyd/role/CybersecurityRiskManagementAndStrategyDisclosure</Role>
      <ShortName>Cybersecurity Risk Management and Strategy Disclosure</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>32</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R33.htm</HtmlFileName>
      <LongName>9955511 - Disclosure - Summary of Significant Accounting Policies (Policies)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/SummaryofSignificantAccountingPoliciesPolicies</Role>
      <ShortName>Summary of Significant Accounting Policies (Policies)</ShortName>
      <MenuCategory>Policies</MenuCategory>
      <ParentRole>http://centralbank.net/role/SummaryofSignificantAccountingPolicies</ParentRole>
      <Position>33</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R34.htm</HtmlFileName>
      <LongName>9955512 - Disclosure - Investment Securities (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/InvestmentSecuritiesTables</Role>
      <ShortName>Investment Securities (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://centralbank.net/role/InvestmentSecurities</ParentRole>
      <Position>34</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R35.htm</HtmlFileName>
      <LongName>9955513 - Disclosure - Loans and Allowance for Credit Losses (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/LoansandAllowanceforCreditLossesTables</Role>
      <ShortName>Loans and Allowance for Credit Losses (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://centralbank.net/role/LoansandAllowanceforCreditLosses</ParentRole>
      <Position>35</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R36.htm</HtmlFileName>
      <LongName>9955514 - Disclosure - Mortgage Banking Activities (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/MortgageBankingActivitiesTables</Role>
      <ShortName>Mortgage Banking Activities (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://centralbank.net/role/MortgageBankingActivities</ParentRole>
      <Position>36</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R37.htm</HtmlFileName>
      <LongName>9955515 - Disclosure - Land, Buildings, and Equipment (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/LandBuildingsandEquipmentTables</Role>
      <ShortName>Land, Buildings, and Equipment (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://centralbank.net/role/LandBuildingsandEquipment</ParentRole>
      <Position>37</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R38.htm</HtmlFileName>
      <LongName>9955516 - Disclosure - Goodwill and Intangible Assets (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/GoodwillandIntangibleAssetsTables</Role>
      <ShortName>Goodwill and Intangible Assets (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://centralbank.net/role/GoodwillandIntangibleAssets</ParentRole>
      <Position>38</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R39.htm</HtmlFileName>
      <LongName>9955517 - Disclosure - Income Taxes (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/IncomeTaxesTables</Role>
      <ShortName>Income Taxes (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://centralbank.net/role/IncomeTaxes</ParentRole>
      <Position>39</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R40.htm</HtmlFileName>
      <LongName>9955518 - Disclosure - Deposits (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/DepositsTables</Role>
      <ShortName>Deposits (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <Position>40</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R41.htm</HtmlFileName>
      <LongName>9955519 - Disclosure - Customer Repurchase Agreements (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/CustomerRepurchaseAgreementsTables</Role>
      <ShortName>Customer Repurchase Agreements (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://centralbank.net/role/CustomerRepurchaseAgreements</ParentRole>
      <Position>41</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R42.htm</HtmlFileName>
      <LongName>9955520 - Disclosure - Employee Benefit Plans (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/EmployeeBenefitPlansTables</Role>
      <ShortName>Employee Benefit Plans (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://centralbank.net/role/EmployeeBenefitPlans</ParentRole>
      <Position>42</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R43.htm</HtmlFileName>
      <LongName>9955521 - Disclosure - Stock-Based Compensation (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/StockBasedCompensationTables</Role>
      <ShortName>Stock-Based Compensation (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://centralbank.net/role/StockBasedCompensation</ParentRole>
      <Position>43</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R44.htm</HtmlFileName>
      <LongName>9955522 - Disclosure - Earnings Per Share (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/EarningsPerShareTables</Role>
      <ShortName>Earnings Per Share (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://centralbank.net/role/EarningsPerShare</ParentRole>
      <Position>44</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R45.htm</HtmlFileName>
      <LongName>9955523 - Disclosure - Capital Adequacy (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/CapitalAdequacyTables</Role>
      <ShortName>Capital Adequacy (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://centralbank.net/role/CapitalAdequacy</ParentRole>
      <Position>45</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R46.htm</HtmlFileName>
      <LongName>9955524 - Disclosure - Leasing (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/LeasingTables</Role>
      <ShortName>Leasing (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://centralbank.net/role/Leasing</ParentRole>
      <Position>46</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R47.htm</HtmlFileName>
      <LongName>9955525 - Disclosure - Commitments, Contingencies, and Guarantees (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/CommitmentsContingenciesandGuaranteesTables</Role>
      <ShortName>Commitments, Contingencies, and Guarantees (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://centralbank.net/role/CommitmentsContingenciesandGuarantees</ParentRole>
      <Position>47</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R48.htm</HtmlFileName>
      <LongName>9955526 - Disclosure - Fair Value Disclosures (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/FairValueDisclosuresTables</Role>
      <ShortName>Fair Value Disclosures (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://centralbank.net/role/FairValueDisclosures</ParentRole>
      <Position>48</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R49.htm</HtmlFileName>
      <LongName>9955527 - Disclosure - Accumulated Other Comprehensive Loss (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/AccumulatedOtherComprehensiveLossTables</Role>
      <ShortName>Accumulated Other Comprehensive Loss (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://centralbank.net/role/AccumulatedOtherComprehensiveLoss</ParentRole>
      <Position>49</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R50.htm</HtmlFileName>
      <LongName>9955528 - Disclosure - Parent Company Condensed Financial Statements (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/ParentCompanyCondensedFinancialStatementsTables</Role>
      <ShortName>Parent Company Condensed Financial Statements (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://centralbank.net/role/ParentCompanyCondensedFinancialStatements</ParentRole>
      <Position>50</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R51.htm</HtmlFileName>
      <LongName>9955529 - Disclosure - Business Segment Reporting (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/BusinessSegmentReportingTables</Role>
      <ShortName>Business Segment Reporting (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://centralbank.net/role/BusinessSegmentReporting</ParentRole>
      <Position>51</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R52.htm</HtmlFileName>
      <LongName>9955530 - Disclosure - Summary of Significant Accounting Policies - Land, Buildings, and Equipment (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/SummaryofSignificantAccountingPoliciesLandBuildingsandEquipmentDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Land, Buildings, and Equipment (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>52</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R53.htm</HtmlFileName>
      <LongName>9955531 - Disclosure - Summary of Significant Accounting Policies - Goodwill and Other Intangible Assets (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/SummaryofSignificantAccountingPoliciesGoodwillandOtherIntangibleAssetsDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Goodwill and Other Intangible Assets (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>53</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R54.htm</HtmlFileName>
      <LongName>9955532 - Disclosure - Investment Securities - Schedule of Equity Securities (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/InvestmentSecuritiesScheduleofEquitySecuritiesDetails</Role>
      <ShortName>Investment Securities - Schedule of Equity Securities (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>54</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R55.htm</HtmlFileName>
      <LongName>9955533 - Disclosure - Investment Securities - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/InvestmentSecuritiesNarrativeDetails</Role>
      <ShortName>Investment Securities - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>55</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R56.htm</HtmlFileName>
      <LongName>9955534 - Disclosure - Investment Securities - Schedule of Unrealized Gain (Loss) on Investments (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/InvestmentSecuritiesScheduleofUnrealizedGainLossonInvestmentsDetails</Role>
      <ShortName>Investment Securities - Schedule of Unrealized Gain (Loss) on Investments (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>56</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R57.htm</HtmlFileName>
      <LongName>9955535 - Disclosure - Investment Securities - Schedule of Fair Value of Available for Sale Securities by Contractual Maturities (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/InvestmentSecuritiesScheduleofFairValueofAvailableforSaleSecuritiesbyContractualMaturitiesDetails</Role>
      <ShortName>Investment Securities - Schedule of Fair Value of Available for Sale Securities by Contractual Maturities (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>57</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R58.htm</HtmlFileName>
      <LongName>9955536 - Disclosure - Investment Securities - Schedule of Unrealized Loss on Available-for-Sale (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/InvestmentSecuritiesScheduleofUnrealizedLossonAvailableforSaleDetails</Role>
      <ShortName>Investment Securities - Schedule of Unrealized Loss on Available-for-Sale (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>58</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R59.htm</HtmlFileName>
      <LongName>9955537 - Disclosure - Investment Securities - Schedule of Unrealized Loss on Held-to-Maturity (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/InvestmentSecuritiesScheduleofUnrealizedLossonHeldtoMaturityDetails</Role>
      <ShortName>Investment Securities - Schedule of Unrealized Loss on Held-to-Maturity (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>59</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R60.htm</HtmlFileName>
      <LongName>9955538 - Disclosure - Investment Securities - Schedule of Amortized Cost Basis by Credit Rating of Held to Maturity Investment (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/InvestmentSecuritiesScheduleofAmortizedCostBasisbyCreditRatingofHeldtoMaturityInvestmentDetails</Role>
      <ShortName>Investment Securities - Schedule of Amortized Cost Basis by Credit Rating of Held to Maturity Investment (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>60</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R61.htm</HtmlFileName>
      <LongName>9955539 - Disclosure - Loans and Allowance for Credit Losses - Schedule of Loans (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/LoansandAllowanceforCreditLossesScheduleofLoansDetails</Role>
      <ShortName>Loans and Allowance for Credit Losses - Schedule of Loans (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>61</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R62.htm</HtmlFileName>
      <LongName>9955540 - Disclosure - Loans and Allowance for Credit Losses - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/LoansandAllowanceforCreditLossesNarrativeDetails</Role>
      <ShortName>Loans and Allowance for Credit Losses - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>62</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R63.htm</HtmlFileName>
      <LongName>9955541 - Disclosure - Loans and Allowance for Credit Losses - Schedule of Loans to Directors and Officers (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/LoansandAllowanceforCreditLossesScheduleofLoanstoDirectorsandOfficersDetails</Role>
      <ShortName>Loans and Allowance for Credit Losses - Schedule of Loans to Directors and Officers (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>63</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R64.htm</HtmlFileName>
      <LongName>9955542 - Disclosure - Loans and Allowance for Credit Losses - Schedule Of Credit Loss Model Inputs (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/LoansandAllowanceforCreditLossesScheduleOfCreditLossModelInputsDetails</Role>
      <ShortName>Loans and Allowance for Credit Losses - Schedule Of Credit Loss Model Inputs (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>64</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R65.htm</HtmlFileName>
      <LongName>9955543 - Disclosure - Loans and Allowance for Credit Losses - Schedule of Financing Receivable, Allowance for Credit Loss (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/LoansandAllowanceforCreditLossesScheduleofFinancingReceivableAllowanceforCreditLossDetails</Role>
      <ShortName>Loans and Allowance for Credit Losses - Schedule of Financing Receivable, Allowance for Credit Loss (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>65</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R66.htm</HtmlFileName>
      <LongName>9955544 - Disclosure - Loans and Allowance for Credit Losses - Schedule of Age Analysis of Past Due Loans (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/LoansandAllowanceforCreditLossesScheduleofAgeAnalysisofPastDueLoansDetails</Role>
      <ShortName>Loans and Allowance for Credit Losses - Schedule of Age Analysis of Past Due Loans (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>66</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R67.htm</HtmlFileName>
      <LongName>9955545 - Disclosure - Loans and Allowance for Credit Losses - Schedule of Risk Category Of Loans In The Portfolio (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/LoansandAllowanceforCreditLossesScheduleofRiskCategoryOfLoansInThePortfolioDetails</Role>
      <ShortName>Loans and Allowance for Credit Losses - Schedule of Risk Category Of Loans In The Portfolio (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>67</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R68.htm</HtmlFileName>
      <LongName>9955546 - Disclosure - Loans and Allowance for Credit Losses - Schedule of Amortized Cost Basis of Collateral-Dependent Loans (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/LoansandAllowanceforCreditLossesScheduleofAmortizedCostBasisofCollateralDependentLoansDetails</Role>
      <ShortName>Loans and Allowance for Credit Losses - Schedule of Amortized Cost Basis of Collateral-Dependent Loans (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>68</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R69.htm</HtmlFileName>
      <LongName>9955547 - Disclosure - Loans and Allowance for Credit Losses - Schedule of Financing Receivable, Modified Loans (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/LoansandAllowanceforCreditLossesScheduleofFinancingReceivableModifiedLoansDetails</Role>
      <ShortName>Loans and Allowance for Credit Losses - Schedule of Financing Receivable, Modified Loans (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>69</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R70.htm</HtmlFileName>
      <LongName>9955548 - Disclosure - Loans and Allowance for Credit Losses - Schedule of Financing Receivable, Modified, Subsequent Default (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/LoansandAllowanceforCreditLossesScheduleofFinancingReceivableModifiedSubsequentDefaultDetails</Role>
      <ShortName>Loans and Allowance for Credit Losses - Schedule of Financing Receivable, Modified, Subsequent Default (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>70</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R71.htm</HtmlFileName>
      <LongName>9955549 - Disclosure - Mortgage Banking Activities - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/MortgageBankingActivitiesNarrativeDetails</Role>
      <ShortName>Mortgage Banking Activities - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>71</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R72.htm</HtmlFileName>
      <LongName>9955550 - Disclosure - Mortgage Banking Activities - Schedule of Components of Mortgage Banking Revenue (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/MortgageBankingActivitiesScheduleofComponentsofMortgageBankingRevenueDetails</Role>
      <ShortName>Mortgage Banking Activities - Schedule of Components of Mortgage Banking Revenue (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>72</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R73.htm</HtmlFileName>
      <LongName>9955551 - Disclosure - Mortgage Banking Activities - Schedule of Weighted Average Assumptions Used in the Calculation of Fair Value of MSRs (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/MortgageBankingActivitiesScheduleofWeightedAverageAssumptionsUsedintheCalculationofFairValueofMSRsDetails</Role>
      <ShortName>Mortgage Banking Activities - Schedule of Weighted Average Assumptions Used in the Calculation of Fair Value of MSRs (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>73</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R74.htm</HtmlFileName>
      <LongName>9955552 - Disclosure - Mortgage Banking Activities - Schedule of Changes to MSRs (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/MortgageBankingActivitiesScheduleofChangestoMSRsDetails</Role>
      <ShortName>Mortgage Banking Activities - Schedule of Changes to MSRs (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>74</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R75.htm</HtmlFileName>
      <LongName>9955553 - Disclosure - Mortgage Banking Activities - Schedule of Amortization Expense (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/MortgageBankingActivitiesScheduleofAmortizationExpenseDetails</Role>
      <ShortName>Mortgage Banking Activities - Schedule of Amortization Expense (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>75</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R76.htm</HtmlFileName>
      <LongName>9955554 - Disclosure - Land, Buildings, and Equipment - Schedule of Land, Buildings and Equipment (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/LandBuildingsandEquipmentScheduleofLandBuildingsandEquipmentDetails</Role>
      <ShortName>Land, Buildings, and Equipment - Schedule of Land, Buildings and Equipment (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>76</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R77.htm</HtmlFileName>
      <LongName>9955555 - Disclosure - Land, Buildings, and Equipment - Schedule of Estimated Future Depreciation Expense (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/LandBuildingsandEquipmentScheduleofEstimatedFutureDepreciationExpenseDetails</Role>
      <ShortName>Land, Buildings, and Equipment - Schedule of Estimated Future Depreciation Expense (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>77</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R78.htm</HtmlFileName>
      <LongName>9955556 - Disclosure - Land, Buildings, and Equipment - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/LandBuildingsandEquipmentNarrativeDetails</Role>
      <ShortName>Land, Buildings, and Equipment - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>78</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R79.htm</HtmlFileName>
      <LongName>9955557 - Disclosure - Goodwill and Intangible Assets - Schedule of Intangible Assets and Goodwill (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/GoodwillandIntangibleAssetsScheduleofIntangibleAssetsandGoodwillDetails</Role>
      <ShortName>Goodwill and Intangible Assets - Schedule of Intangible Assets and Goodwill (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>79</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R80.htm</HtmlFileName>
      <LongName>9955558 - Disclosure - Goodwill and Intangible Assets - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/GoodwillandIntangibleAssetsNarrativeDetails</Role>
      <ShortName>Goodwill and Intangible Assets - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>80</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R81.htm</HtmlFileName>
      <LongName>9955559 - Disclosure - Goodwill and Intangible Assets - Schedule of Amortization Expense (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/GoodwillandIntangibleAssetsScheduleofAmortizationExpenseDetails</Role>
      <ShortName>Goodwill and Intangible Assets - Schedule of Amortization Expense (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>81</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R82.htm</HtmlFileName>
      <LongName>9955560 - Disclosure - Income Taxes - Schedule of Components of Income Tax Expense (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/IncomeTaxesScheduleofComponentsofIncomeTaxExpenseDetails</Role>
      <ShortName>Income Taxes - Schedule of Components of Income Tax Expense (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>82</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R83.htm</HtmlFileName>
      <LongName>9955561 - Disclosure - Income Taxes - Schedule of Income Tax (Benefit) Expense Allocated to Shareholders' Equity (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/IncomeTaxesScheduleofIncomeTaxBenefitExpenseAllocatedtoShareholdersEquityDetails</Role>
      <ShortName>Income Taxes - Schedule of Income Tax (Benefit) Expense Allocated to Shareholders' Equity (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>83</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R84.htm</HtmlFileName>
      <LongName>9955562 - Disclosure - Income Taxes - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/IncomeTaxesNarrativeDetails</Role>
      <ShortName>Income Taxes - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>84</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R85.htm</HtmlFileName>
      <LongName>9955563 - Disclosure - Income Taxes - Schedule of Effective Income Tax Rate Reconciliation (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/IncomeTaxesScheduleofEffectiveIncomeTaxRateReconciliationDetails</Role>
      <ShortName>Income Taxes - Schedule of Effective Income Tax Rate Reconciliation (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>85</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R86.htm</HtmlFileName>
      <LongName>9955564 - Disclosure - Income Taxes - Schedule of Deferred Tax Assets and Liabilities (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/IncomeTaxesScheduleofDeferredTaxAssetsandLiabilitiesDetails</Role>
      <ShortName>Income Taxes - Schedule of Deferred Tax Assets and Liabilities (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>86</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R87.htm</HtmlFileName>
      <LongName>9955565 - Disclosure - Income Taxes - Schedule of Income Taxes Paid by Jurisdiction, Net of Refunds (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/IncomeTaxesScheduleofIncomeTaxesPaidbyJurisdictionNetofRefundsDetails</Role>
      <ShortName>Income Taxes - Schedule of Income Taxes Paid by Jurisdiction, Net of Refunds (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>87</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R88.htm</HtmlFileName>
      <LongName>9955566 - Disclosure - Deposits - Schedule of Maturities of Time Deposits (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/DepositsScheduleofMaturitiesofTimeDepositsDetails</Role>
      <ShortName>Deposits - Schedule of Maturities of Time Deposits (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>88</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R89.htm</HtmlFileName>
      <LongName>9955567 - Disclosure - Deposits- Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/DepositsNarrativeDetails</Role>
      <ShortName>Deposits- Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>89</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R90.htm</HtmlFileName>
      <LongName>9955568 - Disclosure - Customer Repurchase Agreements - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/CustomerRepurchaseAgreementsNarrativeDetails</Role>
      <ShortName>Customer Repurchase Agreements - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>90</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R91.htm</HtmlFileName>
      <LongName>9955569 - Disclosure - Customer Repurchase Agreements - Schedule of Securities Sold Under Agreements to Repurchase (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/CustomerRepurchaseAgreementsScheduleofSecuritiesSoldUnderAgreementstoRepurchaseDetails</Role>
      <ShortName>Customer Repurchase Agreements - Schedule of Securities Sold Under Agreements to Repurchase (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>91</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R92.htm</HtmlFileName>
      <LongName>9955570 - Disclosure - Customer Repurchase Agreements - Schedule of Remaining Contractual Maturities of Repurchase Agreements Outstanding (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/CustomerRepurchaseAgreementsScheduleofRemainingContractualMaturitiesofRepurchaseAgreementsOutstandingDetails</Role>
      <ShortName>Customer Repurchase Agreements - Schedule of Remaining Contractual Maturities of Repurchase Agreements Outstanding (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>92</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R93.htm</HtmlFileName>
      <LongName>9955571 - Disclosure - Employee Benefit Plans - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/EmployeeBenefitPlansNarrativeDetails</Role>
      <ShortName>Employee Benefit Plans - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>93</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R94.htm</HtmlFileName>
      <LongName>9955572 - Disclosure - Employee Benefit Plans - Schedule of Benefit Obligations of the CERP (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/EmployeeBenefitPlansScheduleofBenefitObligationsoftheCERPDetails</Role>
      <ShortName>Employee Benefit Plans - Schedule of Benefit Obligations of the CERP (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>94</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R95.htm</HtmlFileName>
      <LongName>9955573 - Disclosure - Employee Benefit Plans - Schedule of Components of Net Pension Cost (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/EmployeeBenefitPlansScheduleofComponentsofNetPensionCostDetails</Role>
      <ShortName>Employee Benefit Plans - Schedule of Components of Net Pension Cost (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>95</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R96.htm</HtmlFileName>
      <LongName>9955574 - Disclosure - Employee Benefit Plans - Schedule of Pension Plans??? Funded Status (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/EmployeeBenefitPlansScheduleofPensionPlansFundedStatusDetails</Role>
      <ShortName>Employee Benefit Plans - Schedule of Pension Plans??? Funded Status (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>96</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R97.htm</HtmlFileName>
      <LongName>9955575 - Disclosure - Employee Benefit Plans - Schedule of Balance Sheet (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/EmployeeBenefitPlansScheduleofBalanceSheetDetails</Role>
      <ShortName>Employee Benefit Plans - Schedule of Balance Sheet (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>97</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R98.htm</HtmlFileName>
      <LongName>9955576 - Disclosure - Employee Benefit Plans - Schedule of Periodic Benefit Cost and Included in Accumulated Other Comprehensive Loss (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/EmployeeBenefitPlansScheduleofPeriodicBenefitCostandIncludedinAccumulatedOtherComprehensiveLossDetails</Role>
      <ShortName>Employee Benefit Plans - Schedule of Periodic Benefit Cost and Included in Accumulated Other Comprehensive Loss (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>98</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R99.htm</HtmlFileName>
      <LongName>9955577 - Disclosure - Employee Benefit Plans - Schedule of Weighted Average Assumptions (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/EmployeeBenefitPlansScheduleofWeightedAverageAssumptionsDetails</Role>
      <ShortName>Employee Benefit Plans - Schedule of Weighted Average Assumptions (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>99</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R100.htm</HtmlFileName>
      <LongName>9955578 - Disclosure - Employee Benefit Plans - Schedule of Employer Contributions and Benefits Paid (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/EmployeeBenefitPlansScheduleofEmployerContributionsandBenefitsPaidDetails</Role>
      <ShortName>Employee Benefit Plans - Schedule of Employer Contributions and Benefits Paid (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>100</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R101.htm</HtmlFileName>
      <LongName>9955579 - Disclosure - Employee Benefit Plans - Schedule of Weighted Average Asset Allocations (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/EmployeeBenefitPlansScheduleofWeightedAverageAssetAllocationsDetails</Role>
      <ShortName>Employee Benefit Plans - Schedule of Weighted Average Asset Allocations (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>101</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R102.htm</HtmlFileName>
      <LongName>9955580 - Disclosure - Employee Benefit Plans - Schedule of Future Benefit Payments (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/EmployeeBenefitPlansScheduleofFutureBenefitPaymentsDetails</Role>
      <ShortName>Employee Benefit Plans - Schedule of Future Benefit Payments (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>102</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R103.htm</HtmlFileName>
      <LongName>9955581 - Disclosure - Employee Benefit Plans - Schedule of Pension Plan???s Assets at Fair Value (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/EmployeeBenefitPlansScheduleofPensionPlansAssetsatFairValueDetails</Role>
      <ShortName>Employee Benefit Plans - Schedule of Pension Plan???s Assets at Fair Value (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>103</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R104.htm</HtmlFileName>
      <LongName>9955582 - Disclosure - Stock-Based Compensation - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/StockBasedCompensationNarrativeDetails</Role>
      <ShortName>Stock-Based Compensation - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>104</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R105.htm</HtmlFileName>
      <LongName>9955583 - Disclosure - Stock-Based Compensation - Schedule of Nonvested Restricted Stock Shares (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/StockBasedCompensationScheduleofNonvestedRestrictedStockSharesDetails</Role>
      <ShortName>Stock-Based Compensation - Schedule of Nonvested Restricted Stock Shares (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>105</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R106.htm</HtmlFileName>
      <LongName>9955584 - Disclosure - Earnings Per Share - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/EarningsPerShareNarrativeDetails</Role>
      <ShortName>Earnings Per Share - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>106</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R107.htm</HtmlFileName>
      <LongName>9955585 - Disclosure - Earnings Per Share - Schedule of Basic and Diluted Income Per Common Share (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/EarningsPerShareScheduleofBasicandDilutedIncomePerCommonShareDetails</Role>
      <ShortName>Earnings Per Share - Schedule of Basic and Diluted Income Per Common Share (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>107</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R108.htm</HtmlFileName>
      <LongName>9955586 - Disclosure - Earnings Per Share - Schedule of Outstanding Shares (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/EarningsPerShareScheduleofOutstandingSharesDetails</Role>
      <ShortName>Earnings Per Share - Schedule of Outstanding Shares (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>108</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R109.htm</HtmlFileName>
      <LongName>9955587 - Disclosure - Capital Adequacy - Schedule of Company???s and the Bank???s Capital Ratios (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/CapitalAdequacyScheduleofCompanysandtheBanksCapitalRatiosDetails</Role>
      <ShortName>Capital Adequacy - Schedule of Company???s and the Bank???s Capital Ratios (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>109</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R110.htm</HtmlFileName>
      <LongName>9955588 - Disclosure - Leasing (Schedule of lease-related balances) (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/LeasingScheduleofleaserelatedbalancesDetails</Role>
      <ShortName>Leasing (Schedule of lease-related balances) (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://centralbank.net/role/LeasingTables</ParentRole>
      <Position>110</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R111.htm</HtmlFileName>
      <LongName>9955589 - Disclosure - Leasing (Schedule of Components of Lease Cost) (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/LeasingScheduleofComponentsofLeaseCostDetails</Role>
      <ShortName>Leasing (Schedule of Components of Lease Cost) (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://centralbank.net/role/LeasingTables</ParentRole>
      <Position>111</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R112.htm</HtmlFileName>
      <LongName>9955590 - Disclosure - Leasing (Schedule of Measurement Of Lease Liabilities) (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/LeasingScheduleofMeasurementOfLeaseLiabilitiesDetails</Role>
      <ShortName>Leasing (Schedule of Measurement Of Lease Liabilities) (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://centralbank.net/role/LeasingTables</ParentRole>
      <Position>112</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R113.htm</HtmlFileName>
      <LongName>9955591 - Disclosure - Leasing (Schedule of Future Minimum Lease Payments) (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/LeasingScheduleofFutureMinimumLeasePaymentsDetails</Role>
      <ShortName>Leasing (Schedule of Future Minimum Lease Payments) (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://centralbank.net/role/LeasingTables</ParentRole>
      <Position>113</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R114.htm</HtmlFileName>
      <LongName>9955592 - Disclosure - Commitments, Contingencies, and Guarantees (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/CommitmentsContingenciesandGuaranteesDetails</Role>
      <ShortName>Commitments, Contingencies, and Guarantees (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://centralbank.net/role/CommitmentsContingenciesandGuaranteesTables</ParentRole>
      <Position>114</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R115.htm</HtmlFileName>
      <LongName>9955593 - Disclosure - Fair Value Disclosures - Schedule of Fair Value, Assets and Liabilities Measured on Recurring Basis (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/FairValueDisclosuresScheduleofFairValueAssetsandLiabilitiesMeasuredonRecurringBasisDetails</Role>
      <ShortName>Fair Value Disclosures - Schedule of Fair Value, Assets and Liabilities Measured on Recurring Basis (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>115</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R116.htm</HtmlFileName>
      <LongName>9955594 - Disclosure - Fair Value Disclosures - Schedule of Assets Measured at Fair Value on a Nonrecurring Basis (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/FairValueDisclosuresScheduleofAssetsMeasuredatFairValueonaNonrecurringBasisDetails</Role>
      <ShortName>Fair Value Disclosures - Schedule of Assets Measured at Fair Value on a Nonrecurring Basis (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>116</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R117.htm</HtmlFileName>
      <LongName>9955595 - Disclosure - Fair Value Disclosures - Schedule of Estimated Fair Values of the Company???s Financial Instruments (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/FairValueDisclosuresScheduleofEstimatedFairValuesoftheCompanysFinancialInstrumentsDetails</Role>
      <ShortName>Fair Value Disclosures - Schedule of Estimated Fair Values of the Company???s Financial Instruments (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>117</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R118.htm</HtmlFileName>
      <LongName>9955596 - Disclosure - Accumulated Other Comprehensive Loss (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/AccumulatedOtherComprehensiveLossDetails</Role>
      <ShortName>Accumulated Other Comprehensive Loss (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://centralbank.net/role/AccumulatedOtherComprehensiveLossTables</ParentRole>
      <Position>118</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R119.htm</HtmlFileName>
      <LongName>9955597 - Disclosure - Parent Company Condensed Financial Statements - Schedule of Condensed Balance Sheet (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/ParentCompanyCondensedFinancialStatementsScheduleofCondensedBalanceSheetDetails</Role>
      <ShortName>Parent Company Condensed Financial Statements - Schedule of Condensed Balance Sheet (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>119</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R120.htm</HtmlFileName>
      <LongName>9955598 - Disclosure - Parent Company Condensed Financial Statements - Schedule of Condensed Income Statement (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/ParentCompanyCondensedFinancialStatementsScheduleofCondensedIncomeStatementDetails</Role>
      <ShortName>Parent Company Condensed Financial Statements - Schedule of Condensed Income Statement (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>120</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R121.htm</HtmlFileName>
      <LongName>9955599 - Disclosure - Parent Company Condensed Financial Statements - Schedule of Condensed Cash Flow Statement (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/ParentCompanyCondensedFinancialStatementsScheduleofCondensedCashFlowStatementDetails</Role>
      <ShortName>Parent Company Condensed Financial Statements - Schedule of Condensed Cash Flow Statement (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>121</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R122.htm</HtmlFileName>
      <LongName>9955600 - Disclosure - Parent Company Condensed Financial Statements - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/ParentCompanyCondensedFinancialStatementsNarrativeDetails</Role>
      <ShortName>Parent Company Condensed Financial Statements - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>122</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R123.htm</HtmlFileName>
      <LongName>9955601 - Disclosure - Business Segment Reporting - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/BusinessSegmentReportingNarrativeDetails</Role>
      <ShortName>Business Segment Reporting - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>123</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R124.htm</HtmlFileName>
      <LongName>9955602 - Disclosure - Business Segment Reporting - Schedule of Segment Income Statement (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/BusinessSegmentReportingScheduleofSegmentIncomeStatementDetails</Role>
      <ShortName>Business Segment Reporting - Schedule of Segment Income Statement (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>124</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R125.htm</HtmlFileName>
      <LongName>9955603 - Disclosure - Business Segment Reporting - Schedule of Noninterest Income (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/BusinessSegmentReportingScheduleofNoninterestIncomeDetails</Role>
      <ShortName>Business Segment Reporting - Schedule of Noninterest Income (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>125</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R126.htm</HtmlFileName>
      <LongName>9955604 - Disclosure - Business Segment Reporting - Schedule of Noninterest Expense (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/BusinessSegmentReportingScheduleofNoninterestExpenseDetails</Role>
      <ShortName>Business Segment Reporting - Schedule of Noninterest Expense (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>126</Position>
    </Report>
    <Report instance="cbci-20251231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R127.htm</HtmlFileName>
      <LongName>9955605 - Disclosure - Capital Structure, Share Reclassification, Stock Split Effective in the Form of a Stock Dividend - Additional Information (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://centralbank.net/role/CapitalStructureShareReclassificationStockSplitEffectiveintheFormofaStockDividendAdditionalInformationDetails</Role>
      <ShortName>Capital Structure, Share Reclassification, Stock Split Effective in the Form of a Stock Dividend - Additional Information (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>127</Position>
    </Report>
    <Report>
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <LongName>All Reports</LongName>
      <ReportType>Book</ReportType>
      <ShortName>All Reports</ShortName>
    </Report>
  </MyReports>
  <InputFiles>
    <File doctype="10-K" isDefinitelyFs="true" isUsgaap="true" original="cbci-20251231.htm">cbci-20251231.htm</File>
    <File>cbci-20251231.xsd</File>
    <File>cbci-20251231_cal.xml</File>
    <File>cbci-20251231_def.xml</File>
    <File>cbci-20251231_lab.xml</File>
    <File>cbci-20251231_pre.xml</File>
  </InputFiles>
  <SupplementalFiles>
    <File>cbci-20251231_g1.gif</File>
    <File>cbci-20251231_g2.jpg</File>
    <File>cbci-20251231_g3.jpg</File>
    <File>cbci-20251231_g4.jpg</File>
    <File>cbci-20251231_g5.jpg</File>
    <File>cbci-20251231_g6.jpg</File>
  </SupplementalFiles>
  <BaseTaxonomies>
    <BaseTaxonomy items="6">http://fasb.org/srt/2025</BaseTaxonomy>
    <BaseTaxonomy items="3213">http://fasb.org/us-gaap/2025</BaseTaxonomy>
    <BaseTaxonomy items="15">http://xbrl.sec.gov/cyd/2025</BaseTaxonomy>
    <BaseTaxonomy items="39">http://xbrl.sec.gov/dei/2025</BaseTaxonomy>
    <BaseTaxonomy items="5">http://xbrl.sec.gov/ecd/2025</BaseTaxonomy>
  </BaseTaxonomies>
  <HasPresentationLinkbase>true</HasPresentationLinkbase>
  <HasCalculationLinkbase>true</HasCalculationLinkbase>
</FilingSummary>
