What is the Greatest Common Factor of 15339 and 15345?

Greatest common factor (GCF) of 15339 and 15345 is 3.

GCF(15339,15345) = 3

We will now calculate the prime factors of 15339 and 15345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15339 and 15345.

How to find the GCF of 15339 and 15345?

We will first find the prime factorization of 15339 and 15345. After we will calculate the factors of 15339 and 15345 and find the biggest common factor number .

Step-1: Prime Factorization of 15339

Prime factors of 15339 are 3, 5113. Prime factorization of 15339 in exponential form is:

15339 = 3¹ × 5113¹

Step-2: Prime Factorization of 15345

Prime factors of 15345 are 3, 5, 11, 31. Prime factorization of 15345 in exponential form is:

15345 = 3² × 5¹ × 11¹ × 31¹

Step-3: Factors of 15339

List of positive integer factors of 15339 that divides 15339 without a remainder.

1, 3, 5113

Step-4: Factors of 15345

List of positive integer factors of 15345 that divides 15339 without a remainder.

1, 3, 5, 9, 11, 15, 31, 33, 45, 55, 93, 99, 155, 165, 279, 341, 465, 495, 1023, 1395, 1705, 3069, 5115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15339 and 15345. The biggest common factor number is the GCF number.
So the greatest common factor 15339 and 15345 is 3.

Also check out the Least Common Multiple of 15339 and 15345