What is the Greatest Common Factor of 57348 and 57366?

Greatest common factor (GCF) of 57348 and 57366 is 18.

GCF(57348,57366) = 18

We will now calculate the prime factors of 57348 and 57366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57348 and 57366.

How to find the GCF of 57348 and 57366?

We will first find the prime factorization of 57348 and 57366. After we will calculate the factors of 57348 and 57366 and find the biggest common factor number .

Step-1: Prime Factorization of 57348

Prime factors of 57348 are 2, 3, 59. Prime factorization of 57348 in exponential form is:

57348 = 2² × 3⁵ × 59¹

Step-2: Prime Factorization of 57366

Prime factors of 57366 are 2, 3, 3187. Prime factorization of 57366 in exponential form is:

57366 = 2¹ × 3² × 3187¹

Step-3: Factors of 57348

List of positive integer factors of 57348 that divides 57348 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 59, 81, 108, 118, 162, 177, 236, 243, 324, 354, 486, 531, 708, 972, 1062, 1593, 2124, 3186, 4779, 6372, 9558, 14337, 19116, 28674

Step-4: Factors of 57366

List of positive integer factors of 57366 that divides 57348 without a remainder.

1, 2, 3, 6, 9, 18, 3187, 6374, 9561, 19122, 28683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57348 and 57366. The biggest common factor number is the GCF number.
So the greatest common factor 57348 and 57366 is 18.

Also check out the Least Common Multiple of 57348 and 57366