What is the Greatest Common Factor of 4199 and 4212?

Greatest common factor (GCF) of 4199 and 4212 is 13.

GCF(4199,4212) = 13

We will now calculate the prime factors of 4199 and 4212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4199 and 4212.

How to find the GCF of 4199 and 4212?

We will first find the prime factorization of 4199 and 4212. After we will calculate the factors of 4199 and 4212 and find the biggest common factor number .

Step-1: Prime Factorization of 4199

Prime factors of 4199 are 13, 17, 19. Prime factorization of 4199 in exponential form is:

4199 = 13¹ × 17¹ × 19¹

Step-2: Prime Factorization of 4212

Prime factors of 4212 are 2, 3, 13. Prime factorization of 4212 in exponential form is:

4212 = 2² × 3⁴ × 13¹

Step-3: Factors of 4199

List of positive integer factors of 4199 that divides 4199 without a remainder.

1, 13, 17, 19, 221, 247, 323

Step-4: Factors of 4212

List of positive integer factors of 4212 that divides 4199 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 81, 108, 117, 156, 162, 234, 324, 351, 468, 702, 1053, 1404, 2106

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4199 and 4212. The biggest common factor number is the GCF number.
So the greatest common factor 4199 and 4212 is 13.

Also check out the Least Common Multiple of 4199 and 4212