What is the Greatest Common Factor of 6222 and 6237?

Greatest common factor (GCF) of 6222 and 6237 is 3.

GCF(6222,6237) = 3

We will now calculate the prime factors of 6222 and 6237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6222 and 6237.

How to find the GCF of 6222 and 6237?

We will first find the prime factorization of 6222 and 6237. After we will calculate the factors of 6222 and 6237 and find the biggest common factor number .

Step-1: Prime Factorization of 6222

Prime factors of 6222 are 2, 3, 17, 61. Prime factorization of 6222 in exponential form is:

6222 = 2¹ × 3¹ × 17¹ × 61¹

Step-2: Prime Factorization of 6237

Prime factors of 6237 are 3, 7, 11. Prime factorization of 6237 in exponential form is:

6237 = 3⁴ × 7¹ × 11¹

Step-3: Factors of 6222

List of positive integer factors of 6222 that divides 6222 without a remainder.

1, 2, 3, 6, 17, 34, 51, 61, 102, 122, 183, 366, 1037, 2074, 3111

Step-4: Factors of 6237

List of positive integer factors of 6237 that divides 6222 without a remainder.

1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 81, 99, 189, 231, 297, 567, 693, 891, 2079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6222 and 6237. The biggest common factor number is the GCF number.
So the greatest common factor 6222 and 6237 is 3.

Also check out the Least Common Multiple of 6222 and 6237