What is the Greatest Common Factor of 57164 and 57180?

Greatest common factor (GCF) of 57164 and 57180 is 4.

GCF(57164,57180) = 4

We will now calculate the prime factors of 57164 and 57180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57164 and 57180.

How to find the GCF of 57164 and 57180?

We will first find the prime factorization of 57164 and 57180. After we will calculate the factors of 57164 and 57180 and find the biggest common factor number .

Step-1: Prime Factorization of 57164

Prime factors of 57164 are 2, 31, 461. Prime factorization of 57164 in exponential form is:

57164 = 2² × 31¹ × 461¹

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 57164

List of positive integer factors of 57164 that divides 57164 without a remainder.

1, 2, 4, 31, 62, 124, 461, 922, 1844, 14291, 28582

Step-4: Factors of 57180

List of positive integer factors of 57180 that divides 57164 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 57164 and 57180. The biggest common factor number is the GCF number.
So the greatest common factor 57164 and 57180 is 4.

Also check out the Least Common Multiple of 57164 and 57180