Gonzaga weathered a shaky start offensively, caught Memphis just past the midpoint of the first half and used a late 9-0 run to take a 28-23 lead at intermission.
Matt Bouldin had eight points and two assists, both to Will Foster, who finished with a layup and a dunk. Steven Gray made two 3-pointers and added seven points.
Gonzaga made just 4 of its first 18 shots, but stayed close by keeping Memphis' offense in check. Later in the half, GU switched to a zone defense and the Tigers committed several of their 10 turnovers.
The Bulldogs hit 6 of their last 9 shots, two of those 3-pointers by Bouldin. Wesley Witherspoon scored 11 points for the Tigers, who made 8 of 22 shots (36.4 percent).