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Mortgage Revenue Bonds - Schedule of Investments in MRBs (Parenthetical) (Details)	Dec. 31, 2022 USD ($)
Schedule Of Available For Sale Securities [Line Items]
Remaining partnership commitment fund amount	$ 428,319,586
Mortgage Revenue Bond [Member] | Meadow Valley [Member]
Schedule Of Available For Sale Securities [Line Items]
Remaining partnership commitment fund amount	$ 39,300,000

X

- Definition

Remaining partnership's commitments amount.

+ References

No definition available.

+ Details

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Namespace Prefix:	ghi_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- 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

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

X

- Details

Name:	us-gaap_InvestmentTypeAxis=ghi_MortgageRevenueBondMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	srt_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis=ghi_MeadowValleyMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: