What is the Greatest Common Factor of 56095 and 56108?

Greatest common factor (GCF) of 56095 and 56108 is 13.

GCF(56095,56108) = 13

We will now calculate the prime factors of 56095 and 56108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56095 and 56108.

How to find the GCF of 56095 and 56108?

We will first find the prime factorization of 56095 and 56108. After we will calculate the factors of 56095 and 56108 and find the biggest common factor number .

Step-1: Prime Factorization of 56095

Prime factors of 56095 are 5, 13, 863. Prime factorization of 56095 in exponential form is:

56095 = 5¹ × 13¹ × 863¹

Step-2: Prime Factorization of 56108

Prime factors of 56108 are 2, 13, 83. Prime factorization of 56108 in exponential form is:

56108 = 2² × 13² × 83¹

Step-3: Factors of 56095

List of positive integer factors of 56095 that divides 56095 without a remainder.

1, 5, 13, 65, 863, 4315, 11219

Step-4: Factors of 56108

List of positive integer factors of 56108 that divides 56095 without a remainder.

1, 2, 4, 13, 26, 52, 83, 166, 169, 332, 338, 676, 1079, 2158, 4316, 14027, 28054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56095 and 56108. The biggest common factor number is the GCF number.
So the greatest common factor 56095 and 56108 is 13.

Also check out the Least Common Multiple of 56095 and 56108