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Share-Based Compensation Plans - Summary of Status of Company's Nonvested Shares of Employee Performance Shares (Parenthetical) (Details)	12 Months Ended
	Jan. 31, 2026
Share-Based Payment Arrangement [Abstract]
Target achievement percentage of relative performance goal.	100.00%

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- Definition

Target achievement percentage of relative performance goal.

+ References

No definition available.

+ Details

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

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- References

No definition available.

+ Details

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