What is the Greatest Common Factor of 14331 and 14337?

Greatest common factor (GCF) of 14331 and 14337 is 3.

GCF(14331,14337) = 3

We will now calculate the prime factors of 14331 and 14337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14331 and 14337.

How to find the GCF of 14331 and 14337?

We will first find the prime factorization of 14331 and 14337. After we will calculate the factors of 14331 and 14337 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14337

Prime factors of 14337 are 3, 59. Prime factorization of 14337 in exponential form is:

14337 = 3⁵ × 59¹

Step-3: Factors of 14331

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

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

Step-4: Factors of 14337

List of positive integer factors of 14337 that divides 14331 without a remainder.

1, 3, 9, 27, 59, 81, 177, 243, 531, 1593, 4779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14331 and 14337. The biggest common factor number is the GCF number.
So the greatest common factor 14331 and 14337 is 3.

Also check out the Least Common Multiple of 14331 and 14337