What is the Greatest Common Factor of 56928 and 56946?

Greatest common factor (GCF) of 56928 and 56946 is 6.

GCF(56928,56946) = 6

We will now calculate the prime factors of 56928 and 56946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56928 and 56946.

How to find the GCF of 56928 and 56946?

We will first find the prime factorization of 56928 and 56946. After we will calculate the factors of 56928 and 56946 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 56946

Prime factors of 56946 are 2, 3, 9491. Prime factorization of 56946 in exponential form is:

56946 = 2¹ × 3¹ × 9491¹

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 56946

List of positive integer factors of 56946 that divides 56928 without a remainder.

1, 2, 3, 6, 9491, 18982, 28473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56928 and 56946. The biggest common factor number is the GCF number.
So the greatest common factor 56928 and 56946 is 6.

Also check out the Least Common Multiple of 56928 and 56946