What is the Greatest Common Factor of 57108 and 57126?

Greatest common factor (GCF) of 57108 and 57126 is 6.

GCF(57108,57126) = 6

We will now calculate the prime factors of 57108 and 57126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57108 and 57126.

How to find the GCF of 57108 and 57126?

We will first find the prime factorization of 57108 and 57126. After we will calculate the factors of 57108 and 57126 and find the biggest common factor number .

Step-1: Prime Factorization of 57108

Prime factors of 57108 are 2, 3, 4759. Prime factorization of 57108 in exponential form is:

57108 = 2² × 3¹ × 4759¹

Step-2: Prime Factorization of 57126

Prime factors of 57126 are 2, 3, 9521. Prime factorization of 57126 in exponential form is:

57126 = 2¹ × 3¹ × 9521¹

Step-3: Factors of 57108

List of positive integer factors of 57108 that divides 57108 without a remainder.

1, 2, 3, 4, 6, 12, 4759, 9518, 14277, 19036, 28554

Step-4: Factors of 57126

List of positive integer factors of 57126 that divides 57108 without a remainder.

1, 2, 3, 6, 9521, 19042, 28563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57108 and 57126. The biggest common factor number is the GCF number.
So the greatest common factor 57108 and 57126 is 6.

Also check out the Least Common Multiple of 57108 and 57126