The run came on top of a 50-32 halftime lead.
Brewer finished with 10 rebounds, five assists and four steals. Taurean Green had 17 points, four rebounds and four assists; Al Horford had 16 points and 10 rebounds; while Joakim Noah, Lee Humphrey and Chris Richard all scored 10 points for the reigning national champion Gators (6-0).
Benson Callier scored 15 points for the previously unbeaten Hilltoppers (4-1). Courtney Lee scored 14 points, while Tyrone Brazelton added 13 points, two rebounds and two assists.
The contest was part of the Las Vegas Invitational.