What is the Greatest Common Factor of 14317 and 14331?

Greatest common factor (GCF) of 14317 and 14331 is 1.

GCF(14317,14331) = 1

We will now calculate the prime factors of 14317 and 14331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14317 and 14331.

How to find the GCF of 14317 and 14331?

We will first find the prime factorization of 14317 and 14331. After we will calculate the factors of 14317 and 14331 and find the biggest common factor number .

Step-1: Prime Factorization of 14317

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

14317 = 103¹ × 139¹

Step-2: Prime Factorization of 14331

Prime factors of 14331 are 3, 17, 281. Prime factorization of 14331 in exponential form is:

14331 = 3¹ × 17¹ × 281¹

Step-3: Factors of 14317

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

1, 103, 139

Step-4: Factors of 14331

List of positive integer factors of 14331 that divides 14317 without a remainder.

1, 3, 17, 51, 281, 843, 4777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14317 and 14331. The biggest common factor number is the GCF number.
So the greatest common factor 14317 and 14331 is 1.

Also check out the Least Common Multiple of 14317 and 14331