What is the Greatest Common Factor of 57180 and 57196?

Greatest common factor (GCF) of 57180 and 57196 is 4.

GCF(57180,57196) = 4

We will now calculate the prime factors of 57180 and 57196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57180 and 57196.

How to find the GCF of 57180 and 57196?

We will first find the prime factorization of 57180 and 57196. After we will calculate the factors of 57180 and 57196 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57196

Prime factors of 57196 are 2, 79, 181. Prime factorization of 57196 in exponential form is:

57196 = 2² × 79¹ × 181¹

Step-3: Factors of 57180

List of positive integer factors of 57180 that divides 57180 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

Step-4: Factors of 57196

List of positive integer factors of 57196 that divides 57180 without a remainder.

1, 2, 4, 79, 158, 181, 316, 362, 724, 14299, 28598

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57180 and 57196. The biggest common factor number is the GCF number.
So the greatest common factor 57180 and 57196 is 4.

Also check out the Least Common Multiple of 57180 and 57196