What is the Greatest Common Factor of 56928 and 56944?

Greatest common factor (GCF) of 56928 and 56944 is 16.

GCF(56928,56944) = 16

We will now calculate the prime factors of 56928 and 56944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56928 and 56944.

How to find the GCF of 56928 and 56944?

We will first find the prime factorization of 56928 and 56944. After we will calculate the factors of 56928 and 56944 and find the biggest common factor number .

Step-1: Prime Factorization of 56928

Prime factors of 56928 are 2, 3, 593. Prime factorization of 56928 in exponential form is:

56928 = 2⁵ × 3¹ × 593¹

Step-2: Prime Factorization of 56944

Prime factors of 56944 are 2, 3559. Prime factorization of 56944 in exponential form is:

56944 = 2⁴ × 3559¹

Step-3: Factors of 56928

List of positive integer factors of 56928 that divides 56928 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 593, 1186, 1779, 2372, 3558, 4744, 7116, 9488, 14232, 18976, 28464

Step-4: Factors of 56944

List of positive integer factors of 56944 that divides 56928 without a remainder.

1, 2, 4, 8, 16, 3559, 7118, 14236, 28472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56928 and 56944. The biggest common factor number is the GCF number.
So the greatest common factor 56928 and 56944 is 16.

Also check out the Least Common Multiple of 56928 and 56944