What is the Greatest Common Factor of 4199 and 4218?

Greatest common factor (GCF) of 4199 and 4218 is 19.

GCF(4199,4218) = 19

We will now calculate the prime factors of 4199 and 4218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4199 and 4218.

How to find the GCF of 4199 and 4218?

We will first find the prime factorization of 4199 and 4218. After we will calculate the factors of 4199 and 4218 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 4218

Prime factors of 4218 are 2, 3, 19, 37. Prime factorization of 4218 in exponential form is:

4218 = 2¹ × 3¹ × 19¹ × 37¹

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 4218

List of positive integer factors of 4218 that divides 4199 without a remainder.

1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4199 and 4218. The biggest common factor number is the GCF number.
So the greatest common factor 4199 and 4218 is 19.

Also check out the Least Common Multiple of 4199 and 4218