What is the Greatest Common Factor of 56138 and 56156?

Greatest common factor (GCF) of 56138 and 56156 is 2.

GCF(56138,56156) = 2

We will now calculate the prime factors of 56138 and 56156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56138 and 56156.

How to find the GCF of 56138 and 56156?

We will first find the prime factorization of 56138 and 56156. After we will calculate the factors of 56138 and 56156 and find the biggest common factor number .

Step-1: Prime Factorization of 56138

Prime factors of 56138 are 2, 28069. Prime factorization of 56138 in exponential form is:

56138 = 2¹ × 28069¹

Step-2: Prime Factorization of 56156

Prime factors of 56156 are 2, 101, 139. Prime factorization of 56156 in exponential form is:

56156 = 2² × 101¹ × 139¹

Step-3: Factors of 56138

List of positive integer factors of 56138 that divides 56138 without a remainder.

1, 2, 28069

Step-4: Factors of 56156

List of positive integer factors of 56156 that divides 56138 without a remainder.

1, 2, 4, 101, 139, 202, 278, 404, 556, 14039, 28078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56138 and 56156. The biggest common factor number is the GCF number.
So the greatest common factor 56138 and 56156 is 2.

Also check out the Least Common Multiple of 56138 and 56156