Jasmine Hassell added 14 points for the Lady Bulldogs, who shot 50.7 percent from the field (38 of 75).
Hassell, a senior, surpassed the 1,000 career points and now has 1,004.
"To be honest, I didn't know about it," Hassell said. "When we were in the huddle, people were patting me on the back. I was like, 'Why do they keep patting me on my back?' And somebody said it. It's a blessing and honor."
Georgia dominated from the outset, taking a 27-11 lead 10 minutes into the game.
Landers started freshmen Merritt Hempe and Shacobia Barbee and then substituted his starting five with another group that included Butler and Griffin.
Eleven Georgia players scored in the rout.
"We had a lot of people play well, and some had more opportunity to play better and they cashed in on it," Landers said. "I say it all the time, but basketball is such a game of opportunity."
Hassell scored the first basket of Georgia's 16-2 run, but freshmen accounted for the rest with Butler and Griffin alternating the scoring.
After Hempe scored, Butler made two free throws.
Griffin came back with a 3-pointer for a 30-13 lead with 9:35 left, before Butler hit a jumper. Griffin hit another 3-pointer before Butler closed the run with a layup to give Georgia a 37-13 advantage.
Barbee hit a 3-pointer with 13:24 left to give the Lady Bulldogs a 63-35 lead.
Ezinne Kalu, Savannah State's leading scorer, picked up her second foul with 14:24 left in the first half and had 10 points, 7.5 points below her average.