What is the Greatest Common Factor of 914 and 928?

Greatest common factor (GCF) of 914 and 928 is 2.

GCF(914,928) = 2

We will now calculate the prime factors of 914 and 928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 914 and 928.

How to find the GCF of 914 and 928?

We will first find the prime factorization of 914 and 928. After we will calculate the factors of 914 and 928 and find the biggest common factor number .

Step-1: Prime Factorization of 914

Prime factors of 914 are 2, 457. Prime factorization of 914 in exponential form is:

914 = 2¹ × 457¹

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 914

List of positive integer factors of 914 that divides 914 without a remainder.

1, 2, 457

Step-4: Factors of 928

List of positive integer factors of 928 that divides 914 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 914 and 928. The biggest common factor number is the GCF number.
So the greatest common factor 914 and 928 is 2.

Also check out the Least Common Multiple of 914 and 928