What is the Greatest Common Factor of 39309 and 39318?

Greatest common factor (GCF) of 39309 and 39318 is 3.

GCF(39309,39318) = 3

We will now calculate the prime factors of 39309 and 39318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39309 and 39318.

How to find the GCF of 39309 and 39318?

We will first find the prime factorization of 39309 and 39318. After we will calculate the factors of 39309 and 39318 and find the biggest common factor number .

Step-1: Prime Factorization of 39309

Prime factors of 39309 are 3, 13103. Prime factorization of 39309 in exponential form is:

39309 = 3¹ × 13103¹

Step-2: Prime Factorization of 39318

Prime factors of 39318 are 2, 3, 6553. Prime factorization of 39318 in exponential form is:

39318 = 2¹ × 3¹ × 6553¹

Step-3: Factors of 39309

List of positive integer factors of 39309 that divides 39309 without a remainder.

1, 3, 13103

Step-4: Factors of 39318

List of positive integer factors of 39318 that divides 39309 without a remainder.

1, 2, 3, 6, 6553, 13106, 19659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39309 and 39318. The biggest common factor number is the GCF number.
So the greatest common factor 39309 and 39318 is 3.

Also check out the Least Common Multiple of 39309 and 39318