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Income Taxes (Details) (USD $)
In Thousands, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Current    
State $ 3us-gaap_CurrentStateAndLocalTaxExpenseBenefit $ 4us-gaap_CurrentStateAndLocalTaxExpenseBenefit
Deferred    
Federal 530us-gaap_DeferredFederalIncomeTaxExpenseBenefit (286)us-gaap_DeferredFederalIncomeTaxExpenseBenefit
State 324us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit (267)us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit
Change in valuation allowance (854)us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance 553us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance
Total 3us-gaap_IncomeTaxExpenseBenefit 4us-gaap_IncomeTaxExpenseBenefit
Reconciliation of Provision of Income Taxes    
Federal statutory rate (as a percent) 34.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate 34.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate
Federal statutory rate times financial statement net income (loss) 861us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate (101)us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate
State taxes, net of federal benefit 183us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes (19)us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes
Enterprise zone net interest deduction   (285)byfc_IncomeTaxReconciliationEnterpriseZoneNetInterestDeduction
Earnings from bank owned life insurance (27)us-gaap_IncomeTaxReconciliationNondeductibleExpenseLifeInsurance (28)us-gaap_IncomeTaxReconciliationNondeductibleExpenseLifeInsurance
Low income housing credits (212)us-gaap_IncomeTaxReconciliationTaxCredits (211)us-gaap_IncomeTaxReconciliationTaxCredits
Change in valuation allowance (854)us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance 553us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance
Other, net 52us-gaap_IncomeTaxReconciliationOtherAdjustments 95us-gaap_IncomeTaxReconciliationOtherAdjustments
Total $ 3us-gaap_IncomeTaxExpenseBenefit $ 4us-gaap_IncomeTaxExpenseBenefit