What is the Greatest Common Factor of 916 and 928?

Greatest common factor (GCF) of 916 and 928 is 4.

GCF(916,928) = 4

We will now calculate the prime factors of 916 and 928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 916 and 928.

How to find the GCF of 916 and 928?

We will first find the prime factorization of 916 and 928. After we will calculate the factors of 916 and 928 and find the biggest common factor number .

Step-1: Prime Factorization of 916

Prime factors of 916 are 2, 229. Prime factorization of 916 in exponential form is:

916 = 2² × 229¹

Step-2: Prime Factorization of 928

Prime factors of 928 are 2, 29. Prime factorization of 928 in exponential form is:

928 = 2⁵ × 29¹

Step-3: Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458

Step-4: Factors of 928

List of positive integer factors of 928 that divides 916 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 916 and 928. The biggest common factor number is the GCF number.
So the greatest common factor 916 and 928 is 4.

Also check out the Least Common Multiple of 916 and 928