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The filing status rules for Georgia are as follows:

You should use the same status that you used on your Federal return. However if one spouse is a resident and the other is a non-resident without any Georgia source income, your Georgia return may be filed jointly or seperately with each spouse claiming the appropriate personal allowances and deductions. I would look at filing seperately on both the Federal and State and compare it with filing jointly on both to see which is better for you.