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Loans - Summary of Allowance for Loan Losses and Recorded Investment in Loans by Portfolio Segment (Detail) (USD $)
In Thousands, unless otherwise specified
Mar. 31, 2015
Dec. 31, 2014
Mar. 31, 2014
Dec. 31, 2013
Financing Receivable, Allowance for Credit Losses [Line Items]        
Loans, individually evaluated for impairment $ 4,377us-gaap_FinancingReceivableIndividuallyEvaluatedForImpairment $ 4,483us-gaap_FinancingReceivableIndividuallyEvaluatedForImpairment    
Loans, collectively evaluated for impairment 54,792us-gaap_FinancingReceivableCollectivelyEvaluatedForImpairment 57,167us-gaap_FinancingReceivableCollectivelyEvaluatedForImpairment    
Loans, recorded investment 59,169us-gaap_LoansAndLeasesReceivableGrossCarryingAmount 61,650us-gaap_LoansAndLeasesReceivableGrossCarryingAmount    
Allowance for loan losses, individually evaluated for impairment 253us-gaap_FinancingReceivableAllowanceForCreditLossesIndividuallyEvaluatedForImpairment1 325us-gaap_FinancingReceivableAllowanceForCreditLossesIndividuallyEvaluatedForImpairment1 220us-gaap_FinancingReceivableAllowanceForCreditLossesIndividuallyEvaluatedForImpairment1  
Allowance for loan losses, collectively evaluated for impairment 926us-gaap_FinancingReceivableAllowanceForCreditLossesCollectivelyEvaluatedForImpairment 881us-gaap_FinancingReceivableAllowanceForCreditLossesCollectivelyEvaluatedForImpairment    
Allowance for loan losses, recorded investment 1,179us-gaap_LoansAndLeasesReceivableAllowance 1,206us-gaap_LoansAndLeasesReceivableAllowance 1,450us-gaap_LoansAndLeasesReceivableAllowance 1,302us-gaap_LoansAndLeasesReceivableAllowance
Automobile [Member]        
Financing Receivable, Allowance for Credit Losses [Line Items]        
Loans, collectively evaluated for impairment 1,241us-gaap_FinancingReceivableCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= us-gaap_AutomobileLoanMember
1,401us-gaap_FinancingReceivableCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= us-gaap_AutomobileLoanMember
   
Loans, recorded investment 1,241us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= us-gaap_AutomobileLoanMember
1,401us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= us-gaap_AutomobileLoanMember
   
Allowance for loan losses, collectively evaluated for impairment 62us-gaap_FinancingReceivableAllowanceForCreditLossesCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= us-gaap_AutomobileLoanMember
66us-gaap_FinancingReceivableAllowanceForCreditLossesCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= us-gaap_AutomobileLoanMember
   
Allowance for loan losses, recorded investment 62us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= us-gaap_AutomobileLoanMember
66us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= us-gaap_AutomobileLoanMember
   
Land [Member]        
Financing Receivable, Allowance for Credit Losses [Line Items]        
Loans, collectively evaluated for impairment 208us-gaap_FinancingReceivableCollectivelyEvaluatedForImpairment
/ us-gaap_MajorPropertyClassAxis
= us-gaap_LandMember
213us-gaap_FinancingReceivableCollectivelyEvaluatedForImpairment
/ us-gaap_MajorPropertyClassAxis
= us-gaap_LandMember
   
Loans, recorded investment 208us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_MajorPropertyClassAxis
= us-gaap_LandMember
213us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_MajorPropertyClassAxis
= us-gaap_LandMember
   
Allowance for loan losses, collectively evaluated for impairment 6us-gaap_FinancingReceivableAllowanceForCreditLossesCollectivelyEvaluatedForImpairment
/ us-gaap_MajorPropertyClassAxis
= us-gaap_LandMember
6us-gaap_FinancingReceivableAllowanceForCreditLossesCollectivelyEvaluatedForImpairment
/ us-gaap_MajorPropertyClassAxis
= us-gaap_LandMember
   
Allowance for loan losses, recorded investment 6us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_MajorPropertyClassAxis
= us-gaap_LandMember
6us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_MajorPropertyClassAxis
= us-gaap_LandMember
   
One-To-Four-Family [Member]        
Financing Receivable, Allowance for Credit Losses [Line Items]        
Loans, individually evaluated for impairment 1,363us-gaap_FinancingReceivableIndividuallyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= bffi_OneToFourFamilyMember
1,403us-gaap_FinancingReceivableIndividuallyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= bffi_OneToFourFamilyMember
   
Loans, collectively evaluated for impairment 29,436us-gaap_FinancingReceivableCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= bffi_OneToFourFamilyMember
30,027us-gaap_FinancingReceivableCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= bffi_OneToFourFamilyMember
   
Loans, recorded investment 30,799us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= bffi_OneToFourFamilyMember
31,430us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= bffi_OneToFourFamilyMember
   
Allowance for loan losses, individually evaluated for impairment 45us-gaap_FinancingReceivableAllowanceForCreditLossesIndividuallyEvaluatedForImpairment1
/ us-gaap_FinancialInstrumentAxis
= bffi_OneToFourFamilyMember
78us-gaap_FinancingReceivableAllowanceForCreditLossesIndividuallyEvaluatedForImpairment1
/ us-gaap_FinancialInstrumentAxis
= bffi_OneToFourFamilyMember
147us-gaap_FinancingReceivableAllowanceForCreditLossesIndividuallyEvaluatedForImpairment1
/ us-gaap_FinancialInstrumentAxis
= bffi_OneToFourFamilyMember
 
Allowance for loan losses, collectively evaluated for impairment 325us-gaap_FinancingReceivableAllowanceForCreditLossesCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= bffi_OneToFourFamilyMember
314us-gaap_FinancingReceivableAllowanceForCreditLossesCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= bffi_OneToFourFamilyMember
   
Allowance for loan losses, recorded investment 370us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= bffi_OneToFourFamilyMember
392us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= bffi_OneToFourFamilyMember
   
Multi-Family [Member]        
Financing Receivable, Allowance for Credit Losses [Line Items]        
Loans, individually evaluated for impairment 2,937us-gaap_FinancingReceivableIndividuallyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
2,985us-gaap_FinancingReceivableIndividuallyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
   
Loans, collectively evaluated for impairment 6,780us-gaap_FinancingReceivableCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
6,849us-gaap_FinancingReceivableCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
   
Loans, recorded investment 9,717us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
9,834us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
   
Allowance for loan losses, individually evaluated for impairment 208us-gaap_FinancingReceivableAllowanceForCreditLossesIndividuallyEvaluatedForImpairment1
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
247us-gaap_FinancingReceivableAllowanceForCreditLossesIndividuallyEvaluatedForImpairment1
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
73us-gaap_FinancingReceivableAllowanceForCreditLossesIndividuallyEvaluatedForImpairment1
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
 
Allowance for loan losses, collectively evaluated for impairment 132us-gaap_FinancingReceivableAllowanceForCreditLossesCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
107us-gaap_FinancingReceivableAllowanceForCreditLossesCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= bffi_MultiFamilyMember
   
Allowance for loan losses, recorded investment 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]        
Loans, collectively evaluated for impairment 9,580us-gaap_FinancingReceivableCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialRealEstateMember
10,324us-gaap_FinancingReceivableCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialRealEstateMember
   
Loans, recorded investment 9,580us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialRealEstateMember
10,324us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialRealEstateMember
   
Allowance for loan losses, collectively evaluated for impairment 288us-gaap_FinancingReceivableAllowanceForCreditLossesCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialRealEstateMember
277us-gaap_FinancingReceivableAllowanceForCreditLossesCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialRealEstateMember
   
Allowance for loan losses, recorded investment 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]        
Loans, collectively evaluated for impairment 6,511us-gaap_FinancingReceivableCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= us-gaap_HomeEquityMember
7,360us-gaap_FinancingReceivableCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= us-gaap_HomeEquityMember
   
Loans, recorded investment 6,511us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_HomeEquityMember
7,360us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_HomeEquityMember
   
Allowance for loan losses, collectively evaluated for impairment 92us-gaap_FinancingReceivableAllowanceForCreditLossesCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= us-gaap_HomeEquityMember
96us-gaap_FinancingReceivableAllowanceForCreditLossesCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= us-gaap_HomeEquityMember
   
Allowance for loan losses, recorded investment 92us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= us-gaap_HomeEquityMember
96us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= us-gaap_HomeEquityMember
   
Commercial [Member]        
Financing Receivable, Allowance for Credit Losses [Line Items]        
Loans, individually evaluated for impairment 77us-gaap_FinancingReceivableIndividuallyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialLoanMember
95us-gaap_FinancingReceivableIndividuallyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialLoanMember
   
Loans, collectively evaluated for impairment 619us-gaap_FinancingReceivableCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialLoanMember
731us-gaap_FinancingReceivableCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialLoanMember
   
Loans, recorded investment 696us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialLoanMember
826us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialLoanMember
   
Allowance for loan losses, collectively evaluated for impairment 7us-gaap_FinancingReceivableAllowanceForCreditLossesCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialLoanMember
8us-gaap_FinancingReceivableAllowanceForCreditLossesCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialLoanMember
   
Allowance for loan losses, recorded investment 7us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialLoanMember
8us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= us-gaap_CommercialLoanMember
   
Other Consumer [Member]        
Financing Receivable, Allowance for Credit Losses [Line Items]        
Loans, collectively evaluated for impairment 1us-gaap_FinancingReceivableCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= us-gaap_ConsumerOtherFinancingReceivableMember
2us-gaap_FinancingReceivableCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= us-gaap_ConsumerOtherFinancingReceivableMember
   
Loans, recorded investment 1us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_ConsumerOtherFinancingReceivableMember
2us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= us-gaap_ConsumerOtherFinancingReceivableMember
   
Construction [Member]        
Financing Receivable, Allowance for Credit Losses [Line Items]        
Loans, collectively evaluated for impairment 416us-gaap_FinancingReceivableCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= bffi_ConstructionMember
260us-gaap_FinancingReceivableCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= bffi_ConstructionMember
   
Loans, recorded investment 416us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= bffi_ConstructionMember
260us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FinancialInstrumentAxis
= bffi_ConstructionMember
   
Allowance for loan losses, collectively evaluated for impairment 14us-gaap_FinancingReceivableAllowanceForCreditLossesCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= bffi_ConstructionMember
7us-gaap_FinancingReceivableAllowanceForCreditLossesCollectivelyEvaluatedForImpairment
/ us-gaap_FinancialInstrumentAxis
= bffi_ConstructionMember
   
Allowance for loan losses, recorded investment $ 14us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= bffi_ConstructionMember
$ 7us-gaap_LoansAndLeasesReceivableAllowance
/ us-gaap_FinancialInstrumentAxis
= bffi_ConstructionMember