What is the Greatest Common Factor of 56138 and 56144?

Greatest common factor (GCF) of 56138 and 56144 is 2.

GCF(56138,56144) = 2

We will now calculate the prime factors of 56138 and 56144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56138 and 56144.

How to find the GCF of 56138 and 56144?

We will first find the prime factorization of 56138 and 56144. After we will calculate the factors of 56138 and 56144 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 56144

Prime factors of 56144 are 2, 11, 29. Prime factorization of 56144 in exponential form is:

56144 = 2⁴ × 11² × 29¹

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 56144

List of positive integer factors of 56144 that divides 56138 without a remainder.

1, 2, 4, 8, 11, 16, 22, 29, 44, 58, 88, 116, 121, 176, 232, 242, 319, 464, 484, 638, 968, 1276, 1936, 2552, 3509, 5104, 7018, 14036, 28072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56138 and 56144. The biggest common factor number is the GCF number.
So the greatest common factor 56138 and 56144 is 2.

Also check out the Least Common Multiple of 56138 and 56144