Tony Mitchell had a double-double with 16 points and 11 rebounds for the Crimson Tide (10-6, 2-0 Southeastern Conference), who opened up 2-0 in conference play for the first time since 2002.
Green and Mitchell scored 17 of Alabama's first 20 points and combined for 19 of Alabama's first half points.
The closest South Carolina got in the second half was 33-30, but Alabama outscored the Gamecocks 11-3 to push the advantage to 44-33 - its largest lead of the game - on a free throw by Green with 7:47 left.
Malik Cooke finished with 11 points for South Carolina (10-5, 1-1), while Ramon Galloway and Bruce Ellington had 10 points each. Lakeem Jackson grabbed 11 rebounds.
Gamecocks Fall To Alabama, 57-47
Gamecock Anthem Top Stories
Scout 2018: Top 30 for 2018Scout releases its updated Top 30 for the Class of 2018, which is now on the clock leading up to National Signing Day 2018...
Updated Scout 300 Trend Meter For 2017Signing day is Feb. 1 and the updated Scout 300 Trend Meter for the 2017 class takes a look at which schools are trending for each uncommitted member in the Scout 300.
Top 100 high school football prospectsOf the 270,000 high school seniors that played football in 2016, only these players made Scout.com's Top 100 list.
Scout's Top 25 Recruiting ClassesA look at Scout's top 25 classes with just over a week to go to Signing Day.