Question

What is the greatest common factor of 32 and 68? A. 2 B. 4 C. 8 D. 16​

Answer 1

Answer: 4

Explanation:

Step-1: Prime Factorization of 32

Prime factors of 32 are 2. Prime factorization of 32 in exponential form is:

32 = 25

Step-2: Prime Factorization of 68

Prime factors of 68 are 2, 17. Prime factorization of 68 in exponential form is:

68 = 22 × 171

Step-3: Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16

Step-4: Factors of 68

List of positive integer factors of 68 that divides 32 without a remainder.

1, 2, 4, 17, 34

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32 and 68. The biggest common factor number is the GCF number.

So the greatest common factor 32 and 68 is 4.

Answer 2

The answer is 4 because you can't reduce more than this