Cash award granted amount.

No definition available.

Name:	gco_CashAwardGrantedAmount
Namespace Prefix:	gco_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Cash compensation arrangement award vesting period.

+ References

No definition available.

+ Details

Name:	gco_CashCompensationArrangementAwardVestingPeriod
Namespace Prefix:	gco_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

Cash compensation arrangement award vesting rights percentage.

+ References

No definition available.

+ Details

Name:	gco_CashCompensationArrangementAwardVestingRightsPercentage
Namespace Prefix:	gco_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Cash compensation arrangement, compensation expense.

+ References

No definition available.

+ Details

Name:	gco_CashCompensationArrangementCompensationExpense
Namespace Prefix:	gco_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Share-Based Compensation Arrangement By Share-Based Payment Award, Number Of Shares Available For Future Grant, Depletion Ratio Per Share

+ References

No definition available.

+ Details

Name:	gco_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForFutureGrantDepletionRatioPerShare
Namespace Prefix:	gco_
Data Type:	xbrli:pureItemType
Balance Type:	na
Period Type:	duration

- Definition

Share-based compensation arrangement by share-based payment award, restricted stock units issued in period.

+ References

No definition available.

+ Details

Name:	gco_ShareBasedCompensationArrangementByShareBasedPaymentAwardRestrictedStockUnitsIssuedInPeriod
Namespace Prefix:	gco_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- Definition

Share-based compensation arrangements for restricted stock value grant in period.

+ References

No definition available.

+ Details

Name:	gco_ShareBasedCompensationArrangementsForRestrictedStockValueGrantInPeriod
Namespace Prefix:	gco_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Share based compensation arrangements for stock options value grant in period.

+ References

No definition available.

+ Details

Name:	gco_ShareBasedCompensationArrangementsForStockOptionsValueGrantInPeriod
Namespace Prefix:	gco_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Share-based Compensation Arrangement by Share-based Payment Award, Restriction Period

+ References

No definition available.

+ Details

Name:	gco_SharebasedCompensationArrangementbySharebasedPaymentAwardRestrictionPeriod
Namespace Prefix:	gco_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

Amount of expense for award under share-based payment arrangement. Excludes amount capitalized.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 1
-Subparagraph (b)
-URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5047-113901

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SAB Topic 14.F)
-URI http://asc.fasb.org/extlink&oid=122041274&loc=d3e301413-122809

Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (h)(1)(i)
-URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901

+ Details

Name:	us-gaap_AllocatedShareBasedCompensationExpense
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Amount of cost capitalized for award under share-based payment arrangement.

+ References

+ Details

Name:	us-gaap_EmployeeServiceShareBasedCompensationAllocationOfRecognizedPeriodCostsCapitalizedAmount
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Amount of cost not yet recognized for nonvested award under share-based payment arrangement.

+ References

+ Details

Name:	us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Weighted-average period over which cost not yet recognized is expected to be recognized for award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

+ References

+ Details

Name:	us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1
Namespace Prefix:	us-gaap_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

Period over which grantee's right to exercise award under share-based payment arrangement is no longer contingent on satisfaction of service or performance condition, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. Includes, but is not limited to, combination of market, performance or service condition.

+ References

+ Details

Name:	us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1
Namespace Prefix:	us-gaap_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

The number of equity-based payment instruments, excluding stock (or unit) options, that were forfeited during the reporting period.

+ References

+ Details

Name:	us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- Definition

The estimated measure of the percentage by which a share price is expected to fluctuate during a period. Volatility also may be defined as a probability-weighted measure of the dispersion of returns about the mean. The volatility of a share price is the standard deviation of the continuously compounded rates of return on the share over a specified period. That is the same as the standard deviation of the differences in the natural logarithms of the stock prices plus dividends, if any, over the period.

+ References

+ Details

Name:	us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

The risk-free interest rate assumption that is used in valuing an option on its own shares.

+ References

+ Details

Name:	us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

Name:	us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Number of shares authorized for issuance under share-based payment arrangement.

+ References

+ Details

Name:	us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	instant

- Definition

Gross number of share options (or share units) granted during the period.

+ References

No definition available.

+ Details

Name:	us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- Definition

The weighted average grant-date fair value of options granted during the reporting period as calculated by applying the disclosed option pricing methodology.

+ References

+ Details

Name:	us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:perShareItemType
Balance Type:	na
Period Type:	duration

- Definition

Number of shares issued under share-based payment arrangement.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
-URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901

+ Details

Name:	us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesIssuedInPeriod
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- Definition

Percentage of vesting of award under share-based payment arrangement.

+ References

+ Details

Name:	us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardAwardVestingRightsPercentage
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Expected term of award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (f)(2)(i)
-URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SAB Topic 14.D.2)
-URI http://asc.fasb.org/extlink&oid=122041274&loc=d3e301413-122809

+ Details

Name:	us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1
Namespace Prefix:	us-gaap_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Details

Name:	us-gaap_AwardTypeAxis=us-gaap_EmployeeStockOptionMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_AwardTypeAxis=us-gaap_RestrictedStockMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_PlanNameAxis=gco_TwoThousandTwentyEquityIncentivePlanMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	srt_TitleOfIndividualAxis=srt_DirectorMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	srt_TitleOfIndividualAxis=gco_ThreeNewDirectorsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	srt_RangeAxis=srt_MaximumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_VestingAxis=us-gaap_ShareBasedCompensationAwardTrancheOneMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_VestingAxis=us-gaap_ShareBasedCompensationAwardTrancheTwoMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_VestingAxis=us-gaap_ShareBasedCompensationAwardTrancheThreeMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_VestingAxis=gco_SharebasedCompensationAwardTrancheFourMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_PlanNameAxis=gco_TwoThousandsNineEquityIncentivePlanMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	srt_TitleOfIndividualAxis=srt_ChiefExecutiveOfficerMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_AwardTypeAxis=gco_DirectorRetainerStockMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_PlanNameAxis=gco_TwoThousandTwentyRestrictedCashIncentiveProgramMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_PlanNameAxis=gco_AdditiontotheTwoThousandNineEquityIncentivePlanMemberMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Share-Based Compensation Plans - Additional Information (Details) - USD ($)		12 Months Ended
	Feb. 05, 2020	Jan. 29, 2022	Jan. 30, 2021	Feb. 01, 2020	Jun. 30, 2020
Stock Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based compensation cost		$ 100,000	$ 100,000	$ 0
Nonvested Restricted Shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based compensation cost		8,300,000	$ 7,400,000	$ 8,800,000
Unrecognized share-based compensation cost		$ 20,600,000
Forfeited shares (in shares)		6,885	147,085	77,013
Weighted average expected period nonvested share-based compensation		1 year 9 months 21 days
2020 Equity Incentive Plan \| Director
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based compensation for restricted stock value grant in period		$ 107,500
Share-based compensation cost		$ 700,000
2020 Equity Incentive Plan \| Three New Directors
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based compensation, shares issued (in shares)		504
2020 Equity Incentive Plan \| Maximum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based compensation, shares authorized (in shares)		1,800,000
2020 Equity Incentive Plan \| Stock Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting term		4 years
2020 Equity Incentive Plan \| Stock Options \| Maximum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock option's term		10 years
2020 Equity Incentive Plan \| Stock Options \| Vesting percentage - Year 1
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Annual vesting percentage		25.00%
2020 Equity Incentive Plan \| Stock Options \| Vesting percentage - Year 2
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Annual vesting percentage		25.00%
2020 Equity Incentive Plan \| Stock Options \| Vesting percentage - Year 3
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Annual vesting percentage		25.00%
2020 Equity Incentive Plan \| Stock Options \| Vesting percentage - Year 4
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Annual vesting percentage		25.00%
2020 Equity Incentive Plan \| Nonvested Restricted Shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Depletion ratio		2.0
Share-based compensation, shares issued (in shares)		228,444
Share-based compensation, restricted stock units issued (in shares)		919
2020 Equity Incentive Plan \| Nonvested Restricted Shares \| Director
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based compensation, shares issued (in shares)		14,936
2009 Equity Incentive Plan \| CEO
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Granted (in shares)	26,620
Share-based compensation for stock option value grant in period	$ 500,000
2009 Equity Incentive Plan \| Director
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based compensation for restricted stock value grant in period			$ 91,375	$ 91,375
Share-based compensation cost			$ 900,000	$ 1,300,000
Restriction period		3 years
2009 Equity Incentive Plan \| Stock Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock option's term			6 years 3 months
Expected volatility			45.00%
Risk free rate			1.52%
Fair value per share (in dollars per share)			$ 18.78
Unrecognized share-based compensation cost		$ 300,000
Compensation expense capitalized		$ 0
2009 Equity Incentive Plan \| Nonvested Restricted Shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting term		4 years
Share-based compensation, shares issued (in shares)			427,741	269,816
2009 Equity Incentive Plan \| Nonvested Restricted Shares \| Director
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based compensation, shares issued (in shares)			28,266	14,455
2009 Equity Incentive Plan \| Nonvested Restricted Shares \| Vesting percentage - Year 1
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Annual vesting percentage		25.00%	25.00%	25.00%
2009 Equity Incentive Plan \| Nonvested Restricted Shares \| Vesting percentage - Year 2
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Annual vesting percentage		25.00%	25.00%	25.00%
2009 Equity Incentive Plan \| Nonvested Restricted Shares \| Vesting percentage - Year 3
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Annual vesting percentage		25.00%	25.00%	25.00%
2009 Equity Incentive Plan \| Nonvested Restricted Shares \| Vesting percentage - Year 4
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Annual vesting percentage		25.00%	25.00%	25.00%
2009 Equity Incentive Plan \| Director Retainer Stock
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based compensation, shares issued (in shares)			10,457	10,913
Forfeited shares (in shares)			2,965
2020 Restricted Cash Incentive Program
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Cash award, granted amount					$ 2,700,000
Cash award, compensation expense recognized		$ 700,000	$ 400,000
Cash award, vesting term		4 years
2020 Restricted Cash Incentive Program \| Vesting percentage - Year 1
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Cash award, annual vesting percentage		25.00%
2020 Restricted Cash Incentive Program \| Vesting percentage - Year 2
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Cash award, annual vesting percentage		25.00%
2020 Restricted Cash Incentive Program \| Vesting percentage - Year 3
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Cash award, annual vesting percentage		25.00%
2020 Restricted Cash Incentive Program \| Vesting percentage - Year 4
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Cash award, annual vesting percentage		25.00%
Addition to the 2009 Equity Incentive Plan \| Director
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting term		3 years
Addition to the 2009 Equity Incentive Plan \| Nonvested Restricted Shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting term		3 years
Share-based compensation, restricted stock units issued (in shares)			621	1,800