What is the Greatest Common Factor of 57138 and 57158?

Greatest common factor (GCF) of 57138 and 57158 is 2.

GCF(57138,57158) = 2

We will now calculate the prime factors of 57138 and 57158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57138 and 57158.

How to find the GCF of 57138 and 57158?

We will first find the prime factorization of 57138 and 57158. After we will calculate the factors of 57138 and 57158 and find the biggest common factor number .

Step-1: Prime Factorization of 57138

Prime factors of 57138 are 2, 3, 89, 107. Prime factorization of 57138 in exponential form is:

57138 = 2¹ × 3¹ × 89¹ × 107¹

Step-2: Prime Factorization of 57158

Prime factors of 57158 are 2, 28579. Prime factorization of 57158 in exponential form is:

57158 = 2¹ × 28579¹

Step-3: Factors of 57138

List of positive integer factors of 57138 that divides 57138 without a remainder.

1, 2, 3, 6, 89, 107, 178, 214, 267, 321, 534, 642, 9523, 19046, 28569

Step-4: Factors of 57158

List of positive integer factors of 57158 that divides 57138 without a remainder.

1, 2, 28579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57138 and 57158. The biggest common factor number is the GCF number.
So the greatest common factor 57138 and 57158 is 2.

Also check out the Least Common Multiple of 57138 and 57158