What is the Greatest Common Factor of 57168 and 57180?

Greatest common factor (GCF) of 57168 and 57180 is 12.

GCF(57168,57180) = 12

We will now calculate the prime factors of 57168 and 57180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57168 and 57180.

How to find the GCF of 57168 and 57180?

We will first find the prime factorization of 57168 and 57180. After we will calculate the factors of 57168 and 57180 and find the biggest common factor number .

Step-1: Prime Factorization of 57168

Prime factors of 57168 are 2, 3, 397. Prime factorization of 57168 in exponential form is:

57168 = 2⁴ × 3² × 397¹

Step-2: Prime Factorization of 57180

Prime factors of 57180 are 2, 3, 5, 953. Prime factorization of 57180 in exponential form is:

57180 = 2² × 3¹ × 5¹ × 953¹

Step-3: Factors of 57168

List of positive integer factors of 57168 that divides 57168 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 397, 794, 1191, 1588, 2382, 3176, 3573, 4764, 6352, 7146, 9528, 14292, 19056, 28584

Step-4: Factors of 57180

List of positive integer factors of 57180 that divides 57168 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 953, 1906, 2859, 3812, 4765, 5718, 9530, 11436, 14295, 19060, 28590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57168 and 57180. The biggest common factor number is the GCF number.
So the greatest common factor 57168 and 57180 is 12.

Also check out the Least Common Multiple of 57168 and 57180