What is the Greatest Common Factor of 56458 and 56462?

Greatest common factor (GCF) of 56458 and 56462 is 2.

GCF(56458,56462) = 2

We will now calculate the prime factors of 56458 and 56462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56458 and 56462.

How to find the GCF of 56458 and 56462?

We will first find the prime factorization of 56458 and 56462. After we will calculate the factors of 56458 and 56462 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 56462

Prime factors of 56462 are 2, 7, 37, 109. Prime factorization of 56462 in exponential form is:

56462 = 2¹ × 7¹ × 37¹ × 109¹

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 56462

List of positive integer factors of 56462 that divides 56458 without a remainder.

1, 2, 7, 14, 37, 74, 109, 218, 259, 518, 763, 1526, 4033, 8066, 28231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56458 and 56462. The biggest common factor number is the GCF number.
So the greatest common factor 56458 and 56462 is 2.

Also check out the Least Common Multiple of 56458 and 56462