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?
o 23
0 2 3 3
2 2 3 3
0 2 2 2 3 3 3​

Answer 1

Option B)
`2* 3* 3` is correct

By using the prime factorization the greatest common factor of 54 and 72 is
`2* 3* 3`

Explanation:

The prime factorizations of 54 and 72 are given below.

Prime factorization of
`54=2* 3* 3* 3`

Prime factorization of
`72=2* 2* 2* 3* 3`

To find the greatest common factor of 54 and 72 by using the prime factorization :

The greatest common factor of 54 and 72 by using the prime factorization is
`2* 3* 3`

Therefore option B)
`2* 3* 3` is correct

The greatest common factor of 54 and 72 is
`2* 3* 3`