What is the Greatest Common Factor of 57168 and 57186?

Greatest common factor (GCF) of 57168 and 57186 is 18.

GCF(57168,57186) = 18

We will now calculate the prime factors of 57168 and 57186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57168 and 57186.

How to find the GCF of 57168 and 57186?

We will first find the prime factorization of 57168 and 57186. After we will calculate the factors of 57168 and 57186 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 57186

Prime factors of 57186 are 2, 3, 353. Prime factorization of 57186 in exponential form is:

57186 = 2¹ × 3⁴ × 353¹

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 57186

List of positive integer factors of 57186 that divides 57168 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 353, 706, 1059, 2118, 3177, 6354, 9531, 19062, 28593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57168 and 57186. The biggest common factor number is the GCF number.
So the greatest common factor 57168 and 57186 is 18.

Also check out the Least Common Multiple of 57168 and 57186