Question

The prime factorizations of 54 and 72 are shown below. Prime factorization of 54: 2, 3, 3, 3 Prime factorization of 72: 2, 2, 2, 3, 3 Using the prime factorizations, what is the greatest common factor of 54 and 72

1.2'3
2. 2' 3'3
3.2'2' 3'3
4.2'2'2'3'3'3​

Answer 1

b/2'3'3

Explanation:

Answer 2

Explanation:

54 = 2 * 3³

72 = 2³ * 3²

To find the GCF of 54 and 72,

we find the highest common powers of their prime factors.

Highest common power for 2: 2

Highest common power for 3: 3²

Hence GCF of 54 and 72 = 2 * 3².

The answer is Option 2.