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Transactions with Related Parties - Summary of Transactions Between Borrowers of Partnership's MRBs and Affiliates (Parenthetical) (Details)	3 Months Ended		9 Months Ended
	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2023	Sep. 30, 2022
Related Party Transactions [Abstract]
Rate for administration fees receivable	0.45%	0.45%	0.45%	0.45%

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- Definition

Rate for administration fees - rate charged on the bonds and loans collateralized by the underlying properties for administration of the assets

+ References

No definition available.

+ Details

Name:	ghi_RateForAdministrationFees
Namespace Prefix:	ghi_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

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- References

No definition available.

+ Details

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