[tex]\huge{\boxed{6(h+8)}}[/tex]
First, find the factors of 6 and 48.
6: 1, 2, 3, 6
48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The greatest factor they have in common is [tex]6[/tex]. Factor it out of [tex]6h+48[/tex] by dividing each term by [tex]6[/tex]. [tex]\boxed{6(h+8)}[/tex]