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Loans - Summary of Loans Classified by Risk Category (Detail) (USD $)
In Thousands, unless otherwise specified
Mar. 31, 2015
Dec. 31, 2014
Financing Receivable, Recorded Investment, Past Due [Line Items]    
Gross Loans $ 59,169us-gaap_LoansAndLeasesReceivableGrossCarryingAmount $ 61,650us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
Automobile [Member]    
Financing Receivable, Recorded Investment, Past Due [Line Items]    
Gross Loans 1,241us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= us-gaap_AutomobileLoanMember
1,401us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= us-gaap_AutomobileLoanMember
Land [Member]    
Financing Receivable, Recorded Investment, Past Due [Line Items]    
Gross Loans 208us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_MajorPropertyClassAxis
= us-gaap_LandMember
213us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_MajorPropertyClassAxis
= us-gaap_LandMember
One-To-Four-Family [Member]    
Financing Receivable, Recorded Investment, Past Due [Line Items]    
Gross Loans 30,799us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= bffi_OneToFourFamilyMember
31,430us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= bffi_OneToFourFamilyMember
Multi-Family [Member]    
Financing Receivable, Recorded Investment, Past Due [Line Items]    
Gross Loans 9,717us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
9,834us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
Commercial Real Estate [Member]    
Financing Receivable, Recorded Investment, Past Due [Line Items]    
Gross Loans 9,580us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialRealEstateMember
10,324us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialRealEstateMember
Construction [Member]    
Financing Receivable, Recorded Investment, Past Due [Line Items]    
Gross Loans 416us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= bffi_ConstructionMember
260us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= bffi_ConstructionMember
Home Equity Line of Credit [Member]    
Financing Receivable, Recorded Investment, Past Due [Line Items]    
Gross Loans 6,511us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_HomeEquityMember
7,360us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_HomeEquityMember
Commercial [Member]    
Financing Receivable, Recorded Investment, Past Due [Line Items]    
Gross Loans 696us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialLoanMember
826us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialLoanMember
Other Consumer [Member]    
Financing Receivable, Recorded Investment, Past Due [Line Items]    
Gross Loans 1us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_ConsumerOtherFinancingReceivableMember
2us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_ConsumerOtherFinancingReceivableMember
Pass [Member]    
Financing Receivable, Recorded Investment, Past Due [Line Items]    
Gross Loans 57,937us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_PassMember
60,355us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_PassMember
Pass [Member] | Automobile [Member]    
Financing Receivable, Recorded Investment, Past Due [Line Items]    
Gross Loans 1,241us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= us-gaap_AutomobileLoanMember
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_PassMember
1,401us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= us-gaap_AutomobileLoanMember
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_PassMember
Pass [Member] | Land [Member]    
Financing Receivable, Recorded Investment, Past Due [Line Items]    
Gross Loans 208us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_PassMember
/ us-gaap_MajorPropertyClassAxis
= us-gaap_LandMember
213us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_PassMember
/ us-gaap_MajorPropertyClassAxis
= us-gaap_LandMember
Pass [Member] | One-To-Four-Family [Member]    
Financing Receivable, Recorded Investment, Past Due [Line Items]    
Gross Loans 29,988us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= bffi_OneToFourFamilyMember
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_PassMember
30,583us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= bffi_OneToFourFamilyMember
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_PassMember
Pass [Member] | Multi-Family [Member]    
Financing Receivable, Recorded Investment, Past Due [Line Items]    
Gross Loans 9,373us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_PassMember
9,481us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_PassMember
Pass [Member] | Commercial Real Estate [Member]    
Financing Receivable, Recorded Investment, Past Due [Line Items]    
Gross Loans 9,580us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialRealEstateMember
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_PassMember
10,324us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialRealEstateMember
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_PassMember
Pass [Member] | Construction [Member]    
Financing Receivable, Recorded Investment, Past Due [Line Items]    
Gross Loans 416us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= bffi_ConstructionMember
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_PassMember
260us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= bffi_ConstructionMember
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_PassMember
Pass [Member] | Home Equity Line of Credit [Member]    
Financing Receivable, Recorded Investment, Past Due [Line Items]    
Gross Loans 6,511us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_HomeEquityMember
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_PassMember
7,360us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_HomeEquityMember
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_PassMember
Pass [Member] | Commercial [Member]    
Financing Receivable, Recorded Investment, Past Due [Line Items]    
Gross Loans 619us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialLoanMember
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_PassMember
731us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialLoanMember
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_PassMember
Pass [Member] | Other Consumer [Member]    
Financing Receivable, Recorded Investment, Past Due [Line Items]    
Gross Loans 1us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_ConsumerOtherFinancingReceivableMember
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_PassMember
2us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_ConsumerOtherFinancingReceivableMember
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_PassMember
Substandard [Member]    
Financing Receivable, Recorded Investment, Past Due [Line Items]    
Gross Loans 1,232us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_SubstandardMember
1,295us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_SubstandardMember
Substandard [Member] | One-To-Four-Family [Member]    
Financing Receivable, Recorded Investment, Past Due [Line Items]    
Gross Loans 811us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= bffi_OneToFourFamilyMember
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_SubstandardMember
847us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= bffi_OneToFourFamilyMember
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_SubstandardMember
Substandard [Member] | Multi-Family [Member]    
Financing Receivable, Recorded Investment, Past Due [Line Items]    
Gross Loans 344us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_SubstandardMember
353us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_SubstandardMember
Substandard [Member] | Commercial [Member]    
Financing Receivable, Recorded Investment, Past Due [Line Items]    
Gross Loans $ 77us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialLoanMember
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_SubstandardMember
$ 95us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialLoanMember
/ us-gaap_InternalCreditAssessmentAxis
= us-gaap_SubstandardMember