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Loans - Schedule of Allowance for Loan Losses by Portfolio Segment and Class (Detail) (USD $)
In Thousands, unless otherwise specified
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Dec. 31, 2014
Financing Receivable, Allowance for Credit Losses [Line Items]      
Beginning balance $ 1,206us-gaap_LoansAndLeasesReceivableAllowance $ 1,302us-gaap_LoansAndLeasesReceivableAllowance  
Provision for loan losses 0bffi_ProvisionForLoanAndLeaseLossesAndRecoveries 0bffi_ProvisionForLoanAndLeaseLossesAndRecoveries  
Loans charged-off (29)us-gaap_AllowanceForLoanAndLeaseLossesWriteOffs (40)us-gaap_AllowanceForLoanAndLeaseLossesWriteOffs  
Recoveries 2us-gaap_AllowanceForLoanAndLeaseLossRecoveryOfBadDebts 188us-gaap_AllowanceForLoanAndLeaseLossRecoveryOfBadDebts  
Ending balance 1,179us-gaap_LoansAndLeasesReceivableAllowance 1,450us-gaap_LoansAndLeasesReceivableAllowance  
Multi-Family [Member]      
Financing Receivable, Allowance for Credit Losses [Line Items]      
Beginning balance     354us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
Ending balance 340us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
  354us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
Commercial Real Estate [Member]      
Financing Receivable, Allowance for Credit Losses [Line Items]      
Beginning balance     277us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialRealEstateMember
Ending balance 288us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialRealEstateMember
  277us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialRealEstateMember
Home Equity Line of Credit [Member]      
Financing Receivable, Allowance for Credit Losses [Line Items]      
Beginning balance     96us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= us-gaap_HomeEquityMember
Ending balance 92us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= us-gaap_HomeEquityMember
  96us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= us-gaap_HomeEquityMember
Land [Member]      
Financing Receivable, Allowance for Credit Losses [Line Items]      
Beginning balance     6us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_MajorPropertyClassAxis
= us-gaap_LandMember
Ending balance 6us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_MajorPropertyClassAxis
= us-gaap_LandMember
  6us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_MajorPropertyClassAxis
= us-gaap_LandMember
First Mortgage Loans [Member] | One To Four Family Loans [Member]      
Financing Receivable, Allowance for Credit Losses [Line Items]      
Beginning balance 392us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= bffi_OneToFourFamilyLoansMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
589us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= bffi_OneToFourFamilyLoansMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
 
Provision for loan losses (22)bffi_ProvisionForLoanAndLeaseLossesAndRecoveries
/ us-gaap_FinancialInstrumentAxis
= bffi_OneToFourFamilyLoansMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
82bffi_ProvisionForLoanAndLeaseLossesAndRecoveries
/ us-gaap_FinancialInstrumentAxis
= bffi_OneToFourFamilyLoansMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
 
Ending balance 370us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= bffi_OneToFourFamilyLoansMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
671us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= bffi_OneToFourFamilyLoansMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
 
First Mortgage Loans [Member] | Multi-Family [Member]      
Financing Receivable, Allowance for Credit Losses [Line Items]      
Beginning balance 354us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
252us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
 
Provision for loan losses 14bffi_ProvisionForLoanAndLeaseLossesAndRecoveries
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
(6)bffi_ProvisionForLoanAndLeaseLossesAndRecoveries
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
 
Loans charged-off (28)us-gaap_AllowanceForLoanAndLeaseLossesWriteOffs
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
   
Ending balance 340us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
246us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
 
First Mortgage Loans [Member] | Commercial Real Estate [Member]      
Financing Receivable, Allowance for Credit Losses [Line Items]      
Beginning balance 277us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialRealEstateMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
300us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialRealEstateMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
 
Provision for loan losses 11bffi_ProvisionForLoanAndLeaseLossesAndRecoveries
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialRealEstateMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
(229)bffi_ProvisionForLoanAndLeaseLossesAndRecoveries
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialRealEstateMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
 
Recoveries   186us-gaap_AllowanceForLoanAndLeaseLossRecoveryOfBadDebts
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialRealEstateMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
 
Ending balance 288us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialRealEstateMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
257us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialRealEstateMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
 
First Mortgage Loans [Member] | Construction Loans [Member]      
Financing Receivable, Allowance for Credit Losses [Line Items]      
Beginning balance 7us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_ConstructionLoansMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
   
Provision for loan losses 6bffi_ProvisionForLoanAndLeaseLossesAndRecoveries
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_ConstructionLoansMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
(2)bffi_ProvisionForLoanAndLeaseLossesAndRecoveries
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_ConstructionLoansMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
 
Recoveries 1us-gaap_AllowanceForLoanAndLeaseLossRecoveryOfBadDebts
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_ConstructionLoansMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
2us-gaap_AllowanceForLoanAndLeaseLossRecoveryOfBadDebts
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_ConstructionLoansMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
 
Ending balance 14us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_ConstructionLoansMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
   
First Mortgage Loans [Member] | Land [Member]      
Financing Receivable, Allowance for Credit Losses [Line Items]      
Beginning balance   7us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_MajorPropertyClassAxis
= us-gaap_LandMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
6us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_MajorPropertyClassAxis
= us-gaap_LandMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
Provision for loan losses   6bffi_ProvisionForLoanAndLeaseLossesAndRecoveries
/ us-gaap_MajorPropertyClassAxis
= us-gaap_LandMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
 
Loans charged-off   (6)us-gaap_AllowanceForLoanAndLeaseLossesWriteOffs
/ us-gaap_MajorPropertyClassAxis
= us-gaap_LandMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
 
Ending balance 6us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_MajorPropertyClassAxis
= us-gaap_LandMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
7us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_MajorPropertyClassAxis
= us-gaap_LandMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
6us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_MajorPropertyClassAxis
= us-gaap_LandMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= us-gaap_FirstMortgageMember
Commercial, Consumer and Other Loans [Member] | Other Automobile [Member]      
Financing Receivable, Allowance for Credit Losses [Line Items]      
Beginning balance 66us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= bffi_OtherAutomobileMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= bffi_CommercialConsumerAndOtherLoansMember
56us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= bffi_OtherAutomobileMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= bffi_CommercialConsumerAndOtherLoansMember
 
Provision for loan losses (3)bffi_ProvisionForLoanAndLeaseLossesAndRecoveries
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= bffi_OtherAutomobileMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= bffi_CommercialConsumerAndOtherLoansMember
71bffi_ProvisionForLoanAndLeaseLossesAndRecoveries
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= bffi_OtherAutomobileMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= bffi_CommercialConsumerAndOtherLoansMember
 
Loans charged-off (1)us-gaap_AllowanceForLoanAndLeaseLossesWriteOffs
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= bffi_OtherAutomobileMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= bffi_CommercialConsumerAndOtherLoansMember
(16)us-gaap_AllowanceForLoanAndLeaseLossesWriteOffs
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= bffi_OtherAutomobileMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= bffi_CommercialConsumerAndOtherLoansMember
 
Ending balance 62us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= bffi_OtherAutomobileMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= bffi_CommercialConsumerAndOtherLoansMember
111us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= bffi_OtherAutomobileMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= bffi_CommercialConsumerAndOtherLoansMember
 
Commercial, Consumer and Other Loans [Member] | Consumer [Member]      
Financing Receivable, Allowance for Credit Losses [Line Items]      
Provision for loan losses (1)bffi_ProvisionForLoanAndLeaseLossesAndRecoveries
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= us-gaap_ConsumerLoanMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= bffi_CommercialConsumerAndOtherLoansMember
   
Recoveries 1us-gaap_AllowanceForLoanAndLeaseLossRecoveryOfBadDebts
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= us-gaap_ConsumerLoanMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= bffi_CommercialConsumerAndOtherLoansMember
   
Commercial, Consumer and Other Loans [Member] | Home Equity Line of Credit [Member]      
Financing Receivable, Allowance for Credit Losses [Line Items]      
Beginning balance 96us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= us-gaap_HomeEquityMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= bffi_CommercialConsumerAndOtherLoansMember
78us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= us-gaap_HomeEquityMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= bffi_CommercialConsumerAndOtherLoansMember
 
Provision for loan losses (4)bffi_ProvisionForLoanAndLeaseLossesAndRecoveries
/ us-gaap_FinancialInstrumentAxis
= us-gaap_HomeEquityMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= bffi_CommercialConsumerAndOtherLoansMember
77bffi_ProvisionForLoanAndLeaseLossesAndRecoveries
/ us-gaap_FinancialInstrumentAxis
= us-gaap_HomeEquityMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= bffi_CommercialConsumerAndOtherLoansMember
 
Loans charged-off   (18)us-gaap_AllowanceForLoanAndLeaseLossesWriteOffs
/ us-gaap_FinancialInstrumentAxis
= us-gaap_HomeEquityMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= bffi_CommercialConsumerAndOtherLoansMember
 
Ending balance 92us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= us-gaap_HomeEquityMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= bffi_CommercialConsumerAndOtherLoansMember
137us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= us-gaap_HomeEquityMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= bffi_CommercialConsumerAndOtherLoansMember
 
Commercial, Consumer and Other Loans [Member] | Commercial Business Loans [Member]      
Financing Receivable, Allowance for Credit Losses [Line Items]      
Beginning balance 8us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= bffi_CommercialBusinessLoansMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= bffi_CommercialConsumerAndOtherLoansMember
20us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= bffi_CommercialBusinessLoansMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= bffi_CommercialConsumerAndOtherLoansMember
 
Provision for loan losses (1)bffi_ProvisionForLoanAndLeaseLossesAndRecoveries
/ us-gaap_FinancialInstrumentAxis
= bffi_CommercialBusinessLoansMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= bffi_CommercialConsumerAndOtherLoansMember
1bffi_ProvisionForLoanAndLeaseLossesAndRecoveries
/ us-gaap_FinancialInstrumentAxis
= bffi_CommercialBusinessLoansMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= bffi_CommercialConsumerAndOtherLoansMember
 
Ending balance $ 7us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= bffi_CommercialBusinessLoansMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= bffi_CommercialConsumerAndOtherLoansMember
$ 21us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= bffi_CommercialBusinessLoansMember
/ us-gaap_MortgageLoansOnRealEstateDescriptionLoanCategoryAxis
= bffi_CommercialConsumerAndOtherLoansMember