Louisville (9-2) scored the game's first 19 points, including eight from Garcia. The Cardinals made seven of their first 10 shots, including 4-of-5 from 3-point range, during the spurt.
Garcia finished 11-of-17 from the field, including 4-of-8 from long range, as Louisville made a season high 14 of 30 shots from behind the arc. Garcia's previous scoring high was 28 points against Cincinnati on March 11 during the Conference USA tournament.
Chad McKnight led the Eagles with 11 points and Jonathan True added 10.
Morehead (6-4) finished just 15-of-50 from the field and made a season-high 30 turnovers.
The Eagles missed their first five shots and made five turnovers before McKnight finally made two free throws with 15:22 left in the first half. McKnight's layup with 14:39 left was Morehead's first field goal, cutting the lead to 21-5.
The Cardinals then outscored Morehead 10-3 over the next 2 1/2 minutes to lead 31-8 with 11:05 left in the half.
Louisville shot 51 percent from the field in the first half and led 51-26 at the break.