What is the Greatest Common Factor of 14212 and 14229?

Greatest common factor (GCF) of 14212 and 14229 is 17.

GCF(14212,14229) = 17

We will now calculate the prime factors of 14212 and 14229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14212 and 14229.

How to find the GCF of 14212 and 14229?

We will first find the prime factorization of 14212 and 14229. After we will calculate the factors of 14212 and 14229 and find the biggest common factor number .

Step-1: Prime Factorization of 14212

Prime factors of 14212 are 2, 11, 17, 19. Prime factorization of 14212 in exponential form is:

14212 = 2² × 11¹ × 17¹ × 19¹

Step-2: 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-3: Factors of 14212

List of positive integer factors of 14212 that divides 14212 without a remainder.

1, 2, 4, 11, 17, 19, 22, 34, 38, 44, 68, 76, 187, 209, 323, 374, 418, 646, 748, 836, 1292, 3553, 7106

Step-4: Factors of 14229

List of positive integer factors of 14229 that divides 14212 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14212 and 14229. The biggest common factor number is the GCF number.
So the greatest common factor 14212 and 14229 is 17.

Also check out the Least Common Multiple of 14212 and 14229