Divide into Z groups, with X boys and Y girls in each group.

x*z=32

y*z=24

Z is the greatest common divisor of 32 and 24, which is 8.

x=32/z=32/8=4

y=24/z=24/8=3

x+y=4+3=7

It can be divided into 8 groups, with a maximum of 7 people in each group.