What is the Greatest Common Factor of 4218 and 4237?

Greatest common factor (GCF) of 4218 and 4237 is 19.

GCF(4218,4237) = 19

We will now calculate the prime factors of 4218 and 4237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4218 and 4237.

How to find the GCF of 4218 and 4237?

We will first find the prime factorization of 4218 and 4237. After we will calculate the factors of 4218 and 4237 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4237

Prime factors of 4237 are 19, 223. Prime factorization of 4237 in exponential form is:

4237 = 19¹ × 223¹

Step-3: Factors of 4218

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

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

Step-4: Factors of 4237

List of positive integer factors of 4237 that divides 4218 without a remainder.

1, 19, 223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4218 and 4237. The biggest common factor number is the GCF number.
So the greatest common factor 4218 and 4237 is 19.

Also check out the Least Common Multiple of 4218 and 4237