What is the Greatest Common Factor of 57180 and 57189?

Greatest common factor (GCF) of 57180 and 57189 is 3.

GCF(57180,57189) = 3

We will now calculate the prime factors of 57180 and 57189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57180 and 57189.

How to find the GCF of 57180 and 57189?

We will first find the prime factorization of 57180 and 57189. After we will calculate the factors of 57180 and 57189 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 57189

Prime factors of 57189 are 3, 11, 1733. Prime factorization of 57189 in exponential form is:

57189 = 3¹ × 11¹ × 1733¹

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 57189

List of positive integer factors of 57189 that divides 57180 without a remainder.

1, 3, 11, 33, 1733, 5199, 19063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57180 and 57189. The biggest common factor number is the GCF number.
So the greatest common factor 57180 and 57189 is 3.

Also check out the Least Common Multiple of 57180 and 57189