What is the Greatest Common Factor of 56132 and 56138?

Greatest common factor (GCF) of 56132 and 56138 is 2.

GCF(56132,56138) = 2

We will now calculate the prime factors of 56132 and 56138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56132 and 56138.

How to find the GCF of 56132 and 56138?

We will first find the prime factorization of 56132 and 56138. After we will calculate the factors of 56132 and 56138 and find the biggest common factor number .

Step-1: Prime Factorization of 56132

Prime factors of 56132 are 2, 14033. Prime factorization of 56132 in exponential form is:

56132 = 2² × 14033¹

Step-2: Prime Factorization of 56138

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

56138 = 2¹ × 28069¹

Step-3: Factors of 56132

List of positive integer factors of 56132 that divides 56132 without a remainder.

1, 2, 4, 14033, 28066

Step-4: Factors of 56138

List of positive integer factors of 56138 that divides 56132 without a remainder.

1, 2, 28069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56132 and 56138. The biggest common factor number is the GCF number.
So the greatest common factor 56132 and 56138 is 2.

Also check out the Least Common Multiple of 56132 and 56138