What is the Greatest Common Factor of 57324 and 57339?

Greatest common factor (GCF) of 57324 and 57339 is 3.

GCF(57324,57339) = 3

We will now calculate the prime factors of 57324 and 57339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57324 and 57339.

How to find the GCF of 57324 and 57339?

We will first find the prime factorization of 57324 and 57339. After we will calculate the factors of 57324 and 57339 and find the biggest common factor number .

Step-1: Prime Factorization of 57324

Prime factors of 57324 are 2, 3, 17, 281. Prime factorization of 57324 in exponential form is:

57324 = 2² × 3¹ × 17¹ × 281¹

Step-2: 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-3: Factors of 57324

List of positive integer factors of 57324 that divides 57324 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 281, 562, 843, 1124, 1686, 3372, 4777, 9554, 14331, 19108, 28662

Step-4: Factors of 57339

List of positive integer factors of 57339 that divides 57324 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57324 and 57339. The biggest common factor number is the GCF number.
So the greatest common factor 57324 and 57339 is 3.

Also check out the Least Common Multiple of 57324 and 57339