What is the Greatest Common Factor of 56440 and 56456?

Greatest common factor (GCF) of 56440 and 56456 is 8.

GCF(56440,56456) = 8

We will now calculate the prime factors of 56440 and 56456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56440 and 56456.

How to find the GCF of 56440 and 56456?

We will first find the prime factorization of 56440 and 56456. After we will calculate the factors of 56440 and 56456 and find the biggest common factor number .

Step-1: Prime Factorization of 56440

Prime factors of 56440 are 2, 5, 17, 83. Prime factorization of 56440 in exponential form is:

56440 = 2³ × 5¹ × 17¹ × 83¹

Step-2: Prime Factorization of 56456

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

56456 = 2³ × 7057¹

Step-3: Factors of 56440

List of positive integer factors of 56440 that divides 56440 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 83, 85, 136, 166, 170, 332, 340, 415, 664, 680, 830, 1411, 1660, 2822, 3320, 5644, 7055, 11288, 14110, 28220

Step-4: Factors of 56456

List of positive integer factors of 56456 that divides 56440 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56440 and 56456. The biggest common factor number is the GCF number.
So the greatest common factor 56440 and 56456 is 8.

Also check out the Least Common Multiple of 56440 and 56456