What is the Greatest Common Factor of 14313 and 14331?

Greatest common factor (GCF) of 14313 and 14331 is 3.

GCF(14313,14331) = 3

We will now calculate the prime factors of 14313 and 14331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14313 and 14331.

How to find the GCF of 14313 and 14331?

We will first find the prime factorization of 14313 and 14331. After we will calculate the factors of 14313 and 14331 and find the biggest common factor number .

Step-1: Prime Factorization of 14313

Prime factors of 14313 are 3, 13, 367. Prime factorization of 14313 in exponential form is:

14313 = 3¹ × 13¹ × 367¹

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 14313

List of positive integer factors of 14313 that divides 14313 without a remainder.

1, 3, 13, 39, 367, 1101, 4771

Step-4: Factors of 14331

List of positive integer factors of 14331 that divides 14313 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14313 and 14331. The biggest common factor number is the GCF number.
So the greatest common factor 14313 and 14331 is 3.

Also check out the Least Common Multiple of 14313 and 14331