What is the Greatest Common Factor of 16302 and 16317?

Greatest common factor (GCF) of 16302 and 16317 is 3.

GCF(16302,16317) = 3

We will now calculate the prime factors of 16302 and 16317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16302 and 16317.

How to find the GCF of 16302 and 16317?

We will first find the prime factorization of 16302 and 16317. After we will calculate the factors of 16302 and 16317 and find the biggest common factor number .

Step-1: Prime Factorization of 16302

Prime factors of 16302 are 2, 3, 11, 13, 19. Prime factorization of 16302 in exponential form is:

16302 = 2¹ × 3¹ × 11¹ × 13¹ × 19¹

Step-2: 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-3: Factors of 16302

List of positive integer factors of 16302 that divides 16302 without a remainder.

1, 2, 3, 6, 11, 13, 19, 22, 26, 33, 38, 39, 57, 66, 78, 114, 143, 209, 247, 286, 418, 429, 494, 627, 741, 858, 1254, 1482, 2717, 5434, 8151

Step-4: Factors of 16317

List of positive integer factors of 16317 that divides 16302 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16302 and 16317. The biggest common factor number is the GCF number.
So the greatest common factor 16302 and 16317 is 3.

Also check out the Least Common Multiple of 16302 and 16317