}Â¡{blessed}i{. According to Georgia Department of Revenue website, their office issues most refunds within 30 business days. You may check the status of your refund on-line at Georgia Tax Center. You can start checking on the status of your return within 24 hours after they have received your e-filed return or 4 weeks after you mail a paper return. Before making an inquiry, please allow: 1  4 weeks for returns filed electronically. 2  6 weeks for paper returns filed prior to April 1st.