What is the Greatest Common Factor of 14304 and 14317?

Greatest common factor (GCF) of 14304 and 14317 is 1.

GCF(14304,14317) = 1

We will now calculate the prime factors of 14304 and 14317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14304 and 14317.

How to find the GCF of 14304 and 14317?

We will first find the prime factorization of 14304 and 14317. After we will calculate the factors of 14304 and 14317 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 14317

Prime factors of 14317 are 103, 139. Prime factorization of 14317 in exponential form is:

14317 = 103¹ × 139¹

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 14317

List of positive integer factors of 14317 that divides 14304 without a remainder.

1, 103, 139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14304 and 14317. The biggest common factor number is the GCF number.
So the greatest common factor 14304 and 14317 is 1.

Also check out the Least Common Multiple of 14304 and 14317