What is the Greatest Common Factor of 14229 and 14234?

Greatest common factor (GCF) of 14229 and 14234 is 1.

GCF(14229,14234) = 1

We will now calculate the prime factors of 14229 and 14234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14229 and 14234.

How to find the GCF of 14229 and 14234?

We will first find the prime factorization of 14229 and 14234. After we will calculate the factors of 14229 and 14234 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 14234

Prime factors of 14234 are 2, 11, 647. Prime factorization of 14234 in exponential form is:

14234 = 2¹ × 11¹ × 647¹

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 14234

List of positive integer factors of 14234 that divides 14229 without a remainder.

1, 2, 11, 22, 647, 1294, 7117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14229 and 14234. The biggest common factor number is the GCF number.
So the greatest common factor 14229 and 14234 is 1.

Also check out the Least Common Multiple of 14229 and 14234