Yes - Even though you have overall rental losses, the Georgia department of revenue would require you to file a GA nonresident state income tax return to report your rental income on GA located property (and applicable rental expenses).
According to the GA department of revenue -
Non-residents who work in Georgia or receive income from Georgia sources and are required to file a Federal income tax return are required to file a Georgia Form 500 Individual Income Tax Return.
Some examples of Georgia source income are:
- Wages
- Georgia Lottery Winnings
- Income from flow through entities (S-Corporations, Partnerships, LLCs, Trust, and estates
- Rents