What is the Greatest Common Factor of 56458 and 56464?

Greatest common factor (GCF) of 56458 and 56464 is 2.

GCF(56458,56464) = 2

We will now calculate the prime factors of 56458 and 56464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56458 and 56464.

How to find the GCF of 56458 and 56464?

We will first find the prime factorization of 56458 and 56464. After we will calculate the factors of 56458 and 56464 and find the biggest common factor number .

Step-1: Prime Factorization of 56458

Prime factors of 56458 are 2, 28229. Prime factorization of 56458 in exponential form is:

56458 = 2¹ × 28229¹

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 56458

List of positive integer factors of 56458 that divides 56458 without a remainder.

1, 2, 28229

Step-4: Factors of 56464

List of positive integer factors of 56464 that divides 56458 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 56458 and 56464. The biggest common factor number is the GCF number.
So the greatest common factor 56458 and 56464 is 2.

Also check out the Least Common Multiple of 56458 and 56464