What is the Greatest Common Factor of 57132 and 57144?

Greatest common factor (GCF) of 57132 and 57144 is 12.

GCF(57132,57144) = 12

We will now calculate the prime factors of 57132 and 57144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57132 and 57144.

How to find the GCF of 57132 and 57144?

We will first find the prime factorization of 57132 and 57144. After we will calculate the factors of 57132 and 57144 and find the biggest common factor number .

Step-1: Prime Factorization of 57132

Prime factors of 57132 are 2, 3, 23. Prime factorization of 57132 in exponential form is:

57132 = 2² × 3³ × 23²

Step-2: Prime Factorization of 57144

Prime factors of 57144 are 2, 3, 2381. Prime factorization of 57144 in exponential form is:

57144 = 2³ × 3¹ × 2381¹

Step-3: Factors of 57132

List of positive integer factors of 57132 that divides 57132 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 92, 108, 138, 207, 276, 414, 529, 621, 828, 1058, 1242, 1587, 2116, 2484, 3174, 4761, 6348, 9522, 14283, 19044, 28566

Step-4: Factors of 57144

List of positive integer factors of 57144 that divides 57132 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2381, 4762, 7143, 9524, 14286, 19048, 28572

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57132 and 57144. The biggest common factor number is the GCF number.
So the greatest common factor 57132 and 57144 is 12.

Also check out the Least Common Multiple of 57132 and 57144