What is the Greatest Common Factor of 14201 and 14212?

Greatest common factor (GCF) of 14201 and 14212 is 11.

GCF(14201,14212) = 11

We will now calculate the prime factors of 14201 and 14212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14201 and 14212.

How to find the GCF of 14201 and 14212?

We will first find the prime factorization of 14201 and 14212. After we will calculate the factors of 14201 and 14212 and find the biggest common factor number .

Step-1: Prime Factorization of 14201

Prime factors of 14201 are 11, 1291. Prime factorization of 14201 in exponential form is:

14201 = 11¹ × 1291¹

Step-2: 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-3: Factors of 14201

List of positive integer factors of 14201 that divides 14201 without a remainder.

1, 11, 1291

Step-4: Factors of 14212

List of positive integer factors of 14212 that divides 14201 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14201 and 14212. The biggest common factor number is the GCF number.
So the greatest common factor 14201 and 14212 is 11.

Also check out the Least Common Multiple of 14201 and 14212