What is the Greatest Common Factor of 57339 and 57345?

Greatest common factor (GCF) of 57339 and 57345 is 3.

GCF(57339,57345) = 3

We will now calculate the prime factors of 57339 and 57345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57339 and 57345.

How to find the GCF of 57339 and 57345?

We will first find the prime factorization of 57339 and 57345. After we will calculate the factors of 57339 and 57345 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 57345

Prime factors of 57345 are 3, 5, 3823. Prime factorization of 57345 in exponential form is:

57345 = 3¹ × 5¹ × 3823¹

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 57345

List of positive integer factors of 57345 that divides 57339 without a remainder.

1, 3, 5, 15, 3823, 11469, 19115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57339 and 57345. The biggest common factor number is the GCF number.
So the greatest common factor 57339 and 57345 is 3.

Also check out the Least Common Multiple of 57339 and 57345