What is the Greatest Common Factor of 928 and 947?

Greatest common factor (GCF) of 928 and 947 is 1.

GCF(928,947) = 1

We will now calculate the prime factors of 928 and 947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 928 and 947.

How to find the GCF of 928 and 947?

We will first find the prime factorization of 928 and 947. After we will calculate the factors of 928 and 947 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 947

Prime factors of 947 are 947. Prime factorization of 947 in exponential form is:

947 = 947¹

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 947

List of positive integer factors of 947 that divides 928 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 928 and 947. The biggest common factor number is the GCF number.
So the greatest common factor 928 and 947 is 1.

Also check out the Least Common Multiple of 928 and 947