What is the Greatest Common Factor of 16317 and 16323?

Greatest common factor (GCF) of 16317 and 16323 is 3.

GCF(16317,16323) = 3

We will now calculate the prime factors of 16317 and 16323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16317 and 16323.

How to find the GCF of 16317 and 16323?

We will first find the prime factorization of 16317 and 16323. After we will calculate the factors of 16317 and 16323 and find the biggest common factor number .

Step-1: Prime Factorization of 16317

Prime factors of 16317 are 3, 7, 37. Prime factorization of 16317 in exponential form is:

16317 = 3² × 7² × 37¹

Step-2: Prime Factorization of 16323

Prime factors of 16323 are 3, 5441. Prime factorization of 16323 in exponential form is:

16323 = 3¹ × 5441¹

Step-3: Factors of 16317

List of positive integer factors of 16317 that divides 16317 without a remainder.

1, 3, 7, 9, 21, 37, 49, 63, 111, 147, 259, 333, 441, 777, 1813, 2331, 5439

Step-4: Factors of 16323

List of positive integer factors of 16323 that divides 16317 without a remainder.

1, 3, 5441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16317 and 16323. The biggest common factor number is the GCF number.
So the greatest common factor 16317 and 16323 is 3.

Also check out the Least Common Multiple of 16317 and 16323