What is the Greatest Common Factor of 14304 and 14321?

Greatest common factor (GCF) of 14304 and 14321 is 1.

GCF(14304,14321) = 1

We will now calculate the prime factors of 14304 and 14321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14304 and 14321.

How to find the GCF of 14304 and 14321?

We will first find the prime factorization of 14304 and 14321. After we will calculate the factors of 14304 and 14321 and find the biggest common factor number .

Step-1: Prime Factorization of 14304

Prime factors of 14304 are 2, 3, 149. Prime factorization of 14304 in exponential form is:

14304 = 2⁵ × 3¹ × 149¹

Step-2: Prime Factorization of 14321

Prime factors of 14321 are 14321. Prime factorization of 14321 in exponential form is:

14321 = 14321¹

Step-3: Factors of 14304

List of positive integer factors of 14304 that divides 14304 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 149, 298, 447, 596, 894, 1192, 1788, 2384, 3576, 4768, 7152

Step-4: Factors of 14321

List of positive integer factors of 14321 that divides 14304 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14304 and 14321. The biggest common factor number is the GCF number.
So the greatest common factor 14304 and 14321 is 1.

Also check out the Least Common Multiple of 14304 and 14321