What is the Greatest Common Factor of 16308 and 16326?

Greatest common factor (GCF) of 16308 and 16326 is 18.

GCF(16308,16326) = 18

We will now calculate the prime factors of 16308 and 16326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16308 and 16326.

How to find the GCF of 16308 and 16326?

We will first find the prime factorization of 16308 and 16326. After we will calculate the factors of 16308 and 16326 and find the biggest common factor number .

Step-1: Prime Factorization of 16308

Prime factors of 16308 are 2, 3, 151. Prime factorization of 16308 in exponential form is:

16308 = 2² × 3³ × 151¹

Step-2: Prime Factorization of 16326

Prime factors of 16326 are 2, 3, 907. Prime factorization of 16326 in exponential form is:

16326 = 2¹ × 3² × 907¹

Step-3: Factors of 16308

List of positive integer factors of 16308 that divides 16308 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 151, 302, 453, 604, 906, 1359, 1812, 2718, 4077, 5436, 8154

Step-4: Factors of 16326

List of positive integer factors of 16326 that divides 16308 without a remainder.

1, 2, 3, 6, 9, 18, 907, 1814, 2721, 5442, 8163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16308 and 16326. The biggest common factor number is the GCF number.
So the greatest common factor 16308 and 16326 is 18.

Also check out the Least Common Multiple of 16308 and 16326