What is the Greatest Common Factor of 57198 and 57213?

Greatest common factor (GCF) of 57198 and 57213 is 3.

GCF(57198,57213) = 3

We will now calculate the prime factors of 57198 and 57213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57198 and 57213.

How to find the GCF of 57198 and 57213?

We will first find the prime factorization of 57198 and 57213. After we will calculate the factors of 57198 and 57213 and find the biggest common factor number .

Step-1: Prime Factorization of 57198

Prime factors of 57198 are 2, 3, 9533. Prime factorization of 57198 in exponential form is:

57198 = 2¹ × 3¹ × 9533¹

Step-2: Prime Factorization of 57213

Prime factors of 57213 are 3, 13, 163. Prime factorization of 57213 in exponential form is:

57213 = 3³ × 13¹ × 163¹

Step-3: Factors of 57198

List of positive integer factors of 57198 that divides 57198 without a remainder.

1, 2, 3, 6, 9533, 19066, 28599

Step-4: Factors of 57213

List of positive integer factors of 57213 that divides 57198 without a remainder.

1, 3, 9, 13, 27, 39, 117, 163, 351, 489, 1467, 2119, 4401, 6357, 19071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57198 and 57213. The biggest common factor number is the GCF number.
So the greatest common factor 57198 and 57213 is 3.

Also check out the Least Common Multiple of 57198 and 57213