Young surpassed the 1,000-point mark for his career as the Gators (10-2) reeled off their 22nd straight win at Gainesville.
Michael Frazier II added 11 points.
Scottie Wilbekin and Casey Prather also reached double figures with 10 each.
Jyles Smith scored eight points to lead Savannah State (2-11), which managed to hit just 25 percent of its shots from the field.
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