What is the Greatest Common Factor of 13317 and 13329?

Greatest common factor (GCF) of 13317 and 13329 is 3.

GCF(13317,13329) = 3

We will now calculate the prime factors of 13317 and 13329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13317 and 13329.

How to find the GCF of 13317 and 13329?

We will first find the prime factorization of 13317 and 13329. After we will calculate the factors of 13317 and 13329 and find the biggest common factor number .

Step-1: Prime Factorization of 13317

Prime factors of 13317 are 3, 23, 193. Prime factorization of 13317 in exponential form is:

13317 = 3¹ × 23¹ × 193¹

Step-2: Prime Factorization of 13329

Prime factors of 13329 are 3, 1481. Prime factorization of 13329 in exponential form is:

13329 = 3² × 1481¹

Step-3: Factors of 13317

List of positive integer factors of 13317 that divides 13317 without a remainder.

1, 3, 23, 69, 193, 579, 4439

Step-4: Factors of 13329

List of positive integer factors of 13329 that divides 13317 without a remainder.

1, 3, 9, 1481, 4443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13317 and 13329. The biggest common factor number is the GCF number.
So the greatest common factor 13317 and 13329 is 3.

Also check out the Least Common Multiple of 13317 and 13329