Hayward's 21 points in the third quarter was a career high.
BYU holds an all-time record of 44-30-3 against its old WAC and MW rival.
BYU bigman Eric Mika led the Cougars with 29 points and 10 rebounds.
ESPN.com Pac-12 reporter tweets that Utah is "the overwhelming favorite" to end up there.
The BYU women's volleyball team swept UNLV 25-23, 25-21 and 25-12 in the Smith Fieldhouse on Saturday.
It was a pretty solid season for all but one member of the Beehive State's "Big Five" football programs this year.