What is the Greatest Common Factor of 27339 and 27345?

Greatest common factor (GCF) of 27339 and 27345 is 3.

GCF(27339,27345) = 3

We will now calculate the prime factors of 27339 and 27345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27339 and 27345.

How to find the GCF of 27339 and 27345?

We will first find the prime factorization of 27339 and 27345. After we will calculate the factors of 27339 and 27345 and find the biggest common factor number .

Step-1: Prime Factorization of 27339

Prime factors of 27339 are 3, 13, 701. Prime factorization of 27339 in exponential form is:

27339 = 3¹ × 13¹ × 701¹

Step-2: Prime Factorization of 27345

Prime factors of 27345 are 3, 5, 1823. Prime factorization of 27345 in exponential form is:

27345 = 3¹ × 5¹ × 1823¹

Step-3: Factors of 27339

List of positive integer factors of 27339 that divides 27339 without a remainder.

1, 3, 13, 39, 701, 2103, 9113

Step-4: Factors of 27345

List of positive integer factors of 27345 that divides 27339 without a remainder.

1, 3, 5, 15, 1823, 5469, 9115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27339 and 27345. The biggest common factor number is the GCF number.
So the greatest common factor 27339 and 27345 is 3.

Also check out the Least Common Multiple of 27339 and 27345