Moved from GA to TN Dec 2016. My TN address was not updated onto paystubs until end of January so my first Jan statement still had GA address. What do i do?

I moved from GA to TN dec of 2016. My GA address was still attached to pay stubs until end of January by mistake. So my employer paid GA income tax but i was really already in TN and not in GA at all. How can i fix this? Do i have to file GA state taxes now? can i fix this through my employer? help.