Carr completed 36-of-53 passes and overcame a pair of interceptions for the Bulldogs (11-1), who claimed their first outright conference title since 1991.
Fresno State yielded just 304 total yards and recorded nine sacks in rebounding from a 62-52 loss to San Jose State last week, which ended its hopes for a BCS bowl bid.
The Aggies (8-5) muffed their chance for a comeback when Dalen Jones intercepted Utah State's Craig Harrison late in the game.
Moore to attend retreat in to avoid Kutcher's wedding
Yosemite climber falls 30 feet, suffers major injuries