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Redeemable Preferred Units - Additional Information (Details)	3 Months Ended
	Mar. 31, 2024
Series A Preferred Units [Member]
Distributions paid quarterly at annual fixed rate	3.00%
Series A-1 Preferred Units [Member]
Distributions paid quarterly at annual fixed rate	3.00%
Series B Preferred Units [Member]
Distributions paid quarterly at annual fixed rate	5.75%

X

- Definition

Percentage of non-cumulative cash dividend.

+ References

No definition available.

+ Details

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

X

- Details

Name:	us-gaap_StatementClassOfStockAxis=us-gaap_SeriesAPreferredStockMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_StatementClassOfStockAxis=ghi_SeriesA1PreferredUnitsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_StatementClassOfStockAxis=ghi_SeriesBPreferredUnitsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: