What is the Greatest Common Factor of 57339 and 57348?

Greatest common factor (GCF) of 57339 and 57348 is 9.

GCF(57339,57348) = 9

We will now calculate the prime factors of 57339 and 57348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57339 and 57348.

How to find the GCF of 57339 and 57348?

We will first find the prime factorization of 57339 and 57348. After we will calculate the factors of 57339 and 57348 and find the biggest common factor number .

Step-1: Prime Factorization of 57339

Prime factors of 57339 are 3, 23, 277. Prime factorization of 57339 in exponential form is:

57339 = 3² × 23¹ × 277¹

Step-2: 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-3: Factors of 57339

List of positive integer factors of 57339 that divides 57339 without a remainder.

1, 3, 9, 23, 69, 207, 277, 831, 2493, 6371, 19113

Step-4: Factors of 57348

List of positive integer factors of 57348 that divides 57339 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57339 and 57348. The biggest common factor number is the GCF number.
So the greatest common factor 57339 and 57348 is 9.

Also check out the Least Common Multiple of 57339 and 57348