What is the Greatest Common Factor of 57138 and 57156?

Greatest common factor (GCF) of 57138 and 57156 is 6.

GCF(57138,57156) = 6

We will now calculate the prime factors of 57138 and 57156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57138 and 57156.

How to find the GCF of 57138 and 57156?

We will first find the prime factorization of 57138 and 57156. After we will calculate the factors of 57138 and 57156 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 57156

Prime factors of 57156 are 2, 3, 11, 433. Prime factorization of 57156 in exponential form is:

57156 = 2² × 3¹ × 11¹ × 433¹

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 57156

List of positive integer factors of 57156 that divides 57138 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 433, 866, 1299, 1732, 2598, 4763, 5196, 9526, 14289, 19052, 28578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57138 and 57156. The biggest common factor number is the GCF number.
So the greatest common factor 57138 and 57156 is 6.

Also check out the Least Common Multiple of 57138 and 57156