What is the Greatest Common Factor of 56456 and 56464?

Greatest common factor (GCF) of 56456 and 56464 is 8.

GCF(56456,56464) = 8

We will now calculate the prime factors of 56456 and 56464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56456 and 56464.

How to find the GCF of 56456 and 56464?

We will first find the prime factorization of 56456 and 56464. After we will calculate the factors of 56456 and 56464 and find the biggest common factor number .

Step-1: Prime Factorization of 56456

Prime factors of 56456 are 2, 7057. Prime factorization of 56456 in exponential form is:

56456 = 2³ × 7057¹

Step-2: Prime Factorization of 56464

Prime factors of 56464 are 2, 3529. Prime factorization of 56464 in exponential form is:

56464 = 2⁴ × 3529¹

Step-3: Factors of 56456

List of positive integer factors of 56456 that divides 56456 without a remainder.

1, 2, 4, 8, 7057, 14114, 28228

Step-4: Factors of 56464

List of positive integer factors of 56464 that divides 56456 without a remainder.

1, 2, 4, 8, 16, 3529, 7058, 14116, 28232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56456 and 56464. The biggest common factor number is the GCF number.
So the greatest common factor 56456 and 56464 is 8.

Also check out the Least Common Multiple of 56456 and 56464