What is the Greatest Common Factor of 13317 and 13323?

Greatest common factor (GCF) of 13317 and 13323 is 3.

GCF(13317,13323) = 3

We will now calculate the prime factors of 13317 and 13323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13317 and 13323.

How to find the GCF of 13317 and 13323?

We will first find the prime factorization of 13317 and 13323. After we will calculate the factors of 13317 and 13323 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 13323

Prime factors of 13323 are 3, 4441. Prime factorization of 13323 in exponential form is:

13323 = 3¹ × 4441¹

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 13323

List of positive integer factors of 13323 that divides 13317 without a remainder.

1, 3, 4441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13317 and 13323. The biggest common factor number is the GCF number.
So the greatest common factor 13317 and 13323 is 3.

Also check out the Least Common Multiple of 13317 and 13323