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Note 14 - Fair Value Measurements and Fair Values of Financial Instruments (Details) - SBA Servicing Assets Sensitivity Analysis (USD $)
In Thousands, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
SBA Servicing Asset      
Fair Value of SBA Servicing Asset $ 4,099us-gaap_ServicingAssetAtFairValueAmount $ 3,477us-gaap_ServicingAssetAtFairValueAmount $ 2,340us-gaap_ServicingAssetAtFairValueAmount
Composition of SBA Loans Serviced for Others      
Composition of SBA loans serviced for others 100.00%frbk_CompositionsOfSbaLoansServiceForOtherLoans 100.00%frbk_CompositionsOfSbaLoansServiceForOtherLoans  
Weighted Average Remaining Term 21 years 73 days 21 years 146 days  
Prepayment Speed 7.45%us-gaap_AssumptionForFairValueOfInterestsContinuedToBeHeldByTransferorServicingAssetsOrLiabilitiesPrepaymentSpeed 6.72%us-gaap_AssumptionForFairValueOfInterestsContinuedToBeHeldByTransferorServicingAssetsOrLiabilitiesPrepaymentSpeed  
Effect on fair value of a 10% increase (116)us-gaap_SensitivityAnalysisOfFairValueOfInterestsContinuedToBeHeldByTransferorServicingAssetsOrLiabilitiesImpactOf10PercentAdverseChangeInPrepaymentSpeed (83)us-gaap_SensitivityAnalysisOfFairValueOfInterestsContinuedToBeHeldByTransferorServicingAssetsOrLiabilitiesImpactOf10PercentAdverseChangeInPrepaymentSpeed  
Effect on fair value of a 20% increase (226)us-gaap_SensitivityAnalysisOfFairValueOfInterestsContinuedToBeHeldByTransferorServicingAssetsOrLiabilitiesImpactOf20PercentAdverseChangeInPrepaymentSpeed (163)us-gaap_SensitivityAnalysisOfFairValueOfInterestsContinuedToBeHeldByTransferorServicingAssetsOrLiabilitiesImpactOf20PercentAdverseChangeInPrepaymentSpeed  
Weighted Average Discount Rate 12.48%us-gaap_AssumptionForFairValueOfInterestsContinuedToBeHeldByTransferorServicingAssetsOrLiabilitiesDiscountRate 13.59%us-gaap_AssumptionForFairValueOfInterestsContinuedToBeHeldByTransferorServicingAssetsOrLiabilitiesDiscountRate  
Effect on fair value of a 10% increase (195)us-gaap_SensitivityAnalysisOfFairValueOfInterestsContinuedToBeHeldByTransferorServicingAssetsOrLiabilitiesImpactOf10PercentAdverseChangeInDiscountRate (162)us-gaap_SensitivityAnalysisOfFairValueOfInterestsContinuedToBeHeldByTransferorServicingAssetsOrLiabilitiesImpactOf10PercentAdverseChangeInDiscountRate  
Effect on fair value of a 20% increase $ (378)us-gaap_SensitivityAnalysisOfFairValueOfInterestsContinuedToBeHeldByTransferorServicingAssetsOrLiabilitiesImpactOf20PercentAdverseChangeInDiscountRate $ (316)us-gaap_SensitivityAnalysisOfFairValueOfInterestsContinuedToBeHeldByTransferorServicingAssetsOrLiabilitiesImpactOf20PercentAdverseChangeInDiscountRate  
Fixed Rate SBA Loans [Member]      
Composition of SBA Loans Serviced for Others      
Composition of SBA loans serviced for others 0.00%frbk_CompositionsOfSbaLoansServiceForOtherLoans
/ us-gaap_SensitivityAnalysisOfFairValueOfInterestsContinuedToBeHeldByTransferorServicingAssetsOrLiabilitiesImpactOfAdverseChangeInAssumptionByTypeOfFinancialInstrumentAxis
= frbk_FixedRateSbaLoansMember
0.00%frbk_CompositionsOfSbaLoansServiceForOtherLoans
/ us-gaap_SensitivityAnalysisOfFairValueOfInterestsContinuedToBeHeldByTransferorServicingAssetsOrLiabilitiesImpactOfAdverseChangeInAssumptionByTypeOfFinancialInstrumentAxis
= frbk_FixedRateSbaLoansMember
 
Adjustable Rate SBA Loans [Member]      
Composition of SBA Loans Serviced for Others      
Composition of SBA loans serviced for others 100.00%frbk_CompositionsOfSbaLoansServiceForOtherLoans
/ us-gaap_SensitivityAnalysisOfFairValueOfInterestsContinuedToBeHeldByTransferorServicingAssetsOrLiabilitiesImpactOfAdverseChangeInAssumptionByTypeOfFinancialInstrumentAxis
= frbk_AdjustableRateSbaLoansMember
100.00%frbk_CompositionsOfSbaLoansServiceForOtherLoans
/ us-gaap_SensitivityAnalysisOfFairValueOfInterestsContinuedToBeHeldByTransferorServicingAssetsOrLiabilitiesImpactOfAdverseChangeInAssumptionByTypeOfFinancialInstrumentAxis
= frbk_AdjustableRateSbaLoansMember