What is the Greatest Common Factor of 6222 and 6238?

Greatest common factor (GCF) of 6222 and 6238 is 2.

GCF(6222,6238) = 2

We will now calculate the prime factors of 6222 and 6238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6222 and 6238.

How to find the GCF of 6222 and 6238?

We will first find the prime factorization of 6222 and 6238. After we will calculate the factors of 6222 and 6238 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 6238

Prime factors of 6238 are 2, 3119. Prime factorization of 6238 in exponential form is:

6238 = 2¹ × 3119¹

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 6238

List of positive integer factors of 6238 that divides 6222 without a remainder.

1, 2, 3119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6222 and 6238. The biggest common factor number is the GCF number.
So the greatest common factor 6222 and 6238 is 2.

Also check out the Least Common Multiple of 6222 and 6238