The Knights (5-2, 3-0 Conference USA) forced three Memphis turnovers, including a fumble on the UCF 1-yard line in the first quarter.
Murray, starting for the first time since the season opener, had 23 carries and scored twice early. He followed a 1-yard run with an 83-yard romp that was the second-longest run from scrimmage in school history.
Bouye had another big play when he recovered a fumble and ran 79 yards for a 28-10 UCF lead.
The Tigers rushed for a season-high 240 yards behind a career-best 88 yards by Jan Steib.
Andy Staples of Sports Illustrated calls into The Paul Finebaum Show to break down what to expect from the 2016 UGA football team and new head coach Kirby Smart.
Sports Illustrated's Andy Staples joins Paul Finebaum and Marcus Spears to debate who would be included on the SEC Mount Rushmore.
Karl Ravech credits Gary Gilmore's coaching for the Chanticleers' championship win. Kyle Peterson acknowledges Andrew Beckwith's pitching and G.K. Young's swing that ultimately sealed the deal.
GameDay 100: Back in 1980, Georgia WR Lindsay Scott took off on a 92-yard catch-and-run in the final seconds of the game to lift the Bulldogs to a 26-21 victory over the Gators.
DL Hercules Mata'afa, LB Peyton Pelluer and SS Shalom Luani have the Cougars' defense headed in the right direction.
Most of the coaches in the ACC elected to stay out of satellite camp season, believing they had little to gain.