The 27-year-old Anderson had a tournament-record 27-under 259 total, the third-lowest score in relation to par in tour history. He opened with a 63 at The Reserve at Lake Keowee, added a 67 at Greenville Country Club and took a one-stroke lead Saturday with a 64 at Thornblade.
Anderson earned $117,000 to jump from 133rd to ninth on the money list with $124,535.
"To get that first professional victory is the toughest," Anderson said. "This means a lot. It's been four years really and it's been a struggle this year. It really hasn't looked that great but I felt good this week.
"To get this victory in South Carolina is awesome. This state has done so much for me as far as golf. The South Carolina Junior Golf Association and the South Carolina Golf Association can take credit for this win and lots of other wins by South Carolina natives. To get it here in front of my mom, my dad and my grandparents, it couldn't be any better."
Tom Hoge shot a 67 to finish second. Chesson Hadley, Michael Connell and Franklin Corpening tied for third at 21 under. Hadley had a 63, Connell shot 65, and Corpening closed with a 70.
Hadley matched the tour record for nine holes when he went out in 8-under 27, making six birdies and an eagle.
"I played well," Hadley said. "I think I learned quite a bit last year. I was in this position and failed. Today, I really hit the ball beautifully from the fourth hole on and I hope I can keep it going. This is my second year out here and I'm a little more comfortable on the courses. I know what to expect now."