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Organization and Significant Accounting Policies (Details) (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Investments      
Initial minimum collateral as a percentage of fair value of domestic securities loaned 102.00%gac_SecuritiesLendingProgramMinimumCollateralValueAsPercentageOfDomesticSecuritiesLoaned    
Initial minimum collateral as a percentage of fair value of foreign securities loaned 105.00%gac_SecuritiesLendingProgramMinimumCollateralValueAsPercentageOfForeignSecuritiesLoaned    
Cash      
Book overdrafts, included in other liabilities $ 1,788,000us-gaap_BankOverdrafts $ 13,840,000us-gaap_BankOverdrafts  
Property, Plant and Equipment, Gross [Abstract]      
Capitalized internal use software development costs, net of accumulated amortization 66,012,000us-gaap_CapitalizedComputerSoftwareNet 50,134,000us-gaap_CapitalizedComputerSoftwareNet  
Internal use software development costs capitalized 31,473,000us-gaap_CapitalizedComputerSoftwareAdditions 14,640,000us-gaap_CapitalizedComputerSoftwareAdditions 17,593,000us-gaap_CapitalizedComputerSoftwareAdditions
Life insurance and annuity future benefits      
Life insurance and annuity future benefits with life contingencies 15,349,322,000us-gaap_LiabilityForFuturePolicyBenefitsLife 14,296,153,000us-gaap_LiabilityForFuturePolicyBenefitsLife  
Annuity contract benefits without life contingencies 10,569,147,000gac_AnnuityContractBenefitsWithoutLifeContingencies 10,263,043,000gac_AnnuityContractBenefitsWithoutLifeContingencies  
Participating business      
Participating life and annuity policy benefit liabilities 6,804,898,000us-gaap_ParticipatingPoliciesAmountInForce 6,754,435,000us-gaap_ParticipatingPoliciesAmountInForce  
Participating business as a percentage of individual life insurance in-force 9.00%us-gaap_ParticipatingPoliciesAsPercentageOfGrossInsuranceInForce 9.00%us-gaap_ParticipatingPoliciesAsPercentageOfGrossInsuranceInForce  
Participating business income as a percentage of individual life insurance premium income 21.00%gac_ParticipatingPoliciesIncomeAsPercentageOfIncomeFromLifeInsuranceInForce 32.00%gac_ParticipatingPoliciesIncomeAsPercentageOfIncomeFromLifeInsuranceInForce 20.00%gac_ParticipatingPoliciesIncomeAsPercentageOfIncomeFromLifeInsuranceInForce
Minimum      
Other intangible assets      
Useful life of other intangible assets 2 years    
Minimum | Internal use software      
Property, Plant and Equipment, Gross [Abstract]      
Useful life of internal use software 5 years    
Maximum      
Other intangible assets      
Useful life of other intangible assets 18 years    
Life insurance and annuity future benefits      
Life insurance and annuity future benefits with life contingencies $ 4,500,000us-gaap_LiabilityForFuturePolicyBenefitsLife
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
   
Maximum | Internal use software      
Property, Plant and Equipment, Gross [Abstract]      
Useful life of internal use software 7 years    
Weighted average      
Other intangible assets      
Useful life of other intangible assets 15 years