What is the greatest common factor of 24 and 30?

6

The greatest common factor of 24 and 30 is 6

Method 1: Listing Factors

List all the factors of both numbers and the highest factor that is the same is the greatest common factor.

Factors of 24: 1, 2, 3, 4, 6, 8, 12

Factors of 30: 1, 2, 3, 5, 6, 10, 15

The greatest common factor is 6.

Method 2: Prime Factorization

Find the prime factorization of each number. The prime numbers that the numbers all share multiply to the great common factor.

24=2*2*2*3

30=2*3*5

2*3=6

24 and 36 share one two and one three. Therefore, the greatest common factor is 6.

GCF(24, 30) = 6