The prime factorizations of 16 and 24 are shown below. prime factorization of 16: 2, 2, 2, 2 prime factorization of 24: 2, 2, 2, 3 using the prime factorizations, what is the greatest common factor of 16 and 24?

Greatest common factor of 16 and 24 is 8.

Step-by-step explanation:

Given : The prime factorization of 16 and 24 are shown below.

Prime factorization of 16: 2, 2, 2, 2 Prime factorization of 24: 2, 2, 2, 3

To find : What is the greatest common factor of 16 and 24?

Solution :

The greatest common factor of two number is the product of their common factor.

Prime factorization of 16 :

Prime factorization of 24 :

Now, Greatest common factor of 16 and 24 is

Therefore, Greatest common factor of 16 and 24 is 8.