GCF of 24, 36, and 60

To find the greatest common factor of any set:

1) List their prime factorizations.

24 = 2³ * 3

36 = 2² * 3²

60 = 2² * 3 * 5

2) Multiply together any factor these all share.

2² * 3 = 12 (GCF)

24 36 60

1 * 24 1 * 36 1 * 60

2 * 12 2 * 18 2 * 30

3 * 8 3 * 12 3 * 20

4 * 6 4 * 9 4 * 15

6 * 6 5 * 12

6 * 10

GCF (24, 36, 60) = 12