To be clear, I believe that the federal minimum wage takes precedent and the true minimum wage for individuals is $7.25/hr currently. I have not read anything on the minimum wage laws in quite a while, and I am only relying on memory here. Georgia has not maintained a compliance with the federal standard legally, but people should be paid the federal minimum - I think.
Also - the federal standard covers most, but not all industry positions, so technically both standards are possible in the state at the same time, but for different groups.