What is the Greatest Common Factor of 928 and 948?

Greatest common factor (GCF) of 928 and 948 is 4.

GCF(928,948) = 4

We will now calculate the prime factors of 928 and 948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 928 and 948.

How to find the GCF of 928 and 948?

We will first find the prime factorization of 928 and 948. After we will calculate the factors of 928 and 948 and find the biggest common factor number .

Step-1: Prime Factorization of 928

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

928 = 2⁵ × 29¹

Step-2: Prime Factorization of 948

Prime factors of 948 are 2, 3, 79. Prime factorization of 948 in exponential form is:

948 = 2² × 3¹ × 79¹

Step-3: Factors of 928

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

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

Step-4: Factors of 948

List of positive integer factors of 948 that divides 928 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 928 and 948. The biggest common factor number is the GCF number.
So the greatest common factor 928 and 948 is 4.

Also check out the Least Common Multiple of 928 and 948