What is the Greatest Common Factor of 928 and 946?

Greatest common factor (GCF) of 928 and 946 is 2.

GCF(928,946) = 2

We will now calculate the prime factors of 928 and 946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 928 and 946.

How to find the GCF of 928 and 946?

We will first find the prime factorization of 928 and 946. After we will calculate the factors of 928 and 946 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 946

Prime factors of 946 are 2, 11, 43. Prime factorization of 946 in exponential form is:

946 = 2¹ × 11¹ × 43¹

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 946

List of positive integer factors of 946 that divides 928 without a remainder.

1, 2, 11, 22, 43, 86, 473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 928 and 946. The biggest common factor number is the GCF number.
So the greatest common factor 928 and 946 is 2.

Also check out the Least Common Multiple of 928 and 946