What is the Greatest Common Factor of 14229 and 14237?

Greatest common factor (GCF) of 14229 and 14237 is 1.

GCF(14229,14237) = 1

We will now calculate the prime factors of 14229 and 14237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14229 and 14237.

How to find the GCF of 14229 and 14237?

We will first find the prime factorization of 14229 and 14237. After we will calculate the factors of 14229 and 14237 and find the biggest common factor number .

Step-1: Prime Factorization of 14229

Prime factors of 14229 are 3, 17, 31. Prime factorization of 14229 in exponential form is:

14229 = 3³ × 17¹ × 31¹

Step-2: Prime Factorization of 14237

Prime factors of 14237 are 23, 619. Prime factorization of 14237 in exponential form is:

14237 = 23¹ × 619¹

Step-3: Factors of 14229

List of positive integer factors of 14229 that divides 14229 without a remainder.

1, 3, 9, 17, 27, 31, 51, 93, 153, 279, 459, 527, 837, 1581, 4743

Step-4: Factors of 14237

List of positive integer factors of 14237 that divides 14229 without a remainder.

1, 23, 619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14229 and 14237. The biggest common factor number is the GCF number.
So the greatest common factor 14229 and 14237 is 1.

Also check out the Least Common Multiple of 14229 and 14237