What is the Greatest Common Factor of 56180 and 56188?

Greatest common factor (GCF) of 56180 and 56188 is 4.

GCF(56180,56188) = 4

We will now calculate the prime factors of 56180 and 56188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56180 and 56188.

How to find the GCF of 56180 and 56188?

We will first find the prime factorization of 56180 and 56188. After we will calculate the factors of 56180 and 56188 and find the biggest common factor number .

Step-1: Prime Factorization of 56180

Prime factors of 56180 are 2, 5, 53. Prime factorization of 56180 in exponential form is:

56180 = 2² × 5¹ × 53²

Step-2: Prime Factorization of 56188

Prime factors of 56188 are 2, 11, 1277. Prime factorization of 56188 in exponential form is:

56188 = 2² × 11¹ × 1277¹

Step-3: Factors of 56180

List of positive integer factors of 56180 that divides 56180 without a remainder.

1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060, 2809, 5618, 11236, 14045, 28090

Step-4: Factors of 56188

List of positive integer factors of 56188 that divides 56180 without a remainder.

1, 2, 4, 11, 22, 44, 1277, 2554, 5108, 14047, 28094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56180 and 56188. The biggest common factor number is the GCF number.
So the greatest common factor 56180 and 56188 is 4.

Also check out the Least Common Multiple of 56180 and 56188