What is the Greatest Common Factor of 6228 and 6238?

Greatest common factor (GCF) of 6228 and 6238 is 2.

GCF(6228,6238) = 2

We will now calculate the prime factors of 6228 and 6238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6228 and 6238.

How to find the GCF of 6228 and 6238?

We will first find the prime factorization of 6228 and 6238. After we will calculate the factors of 6228 and 6238 and find the biggest common factor number .

Step-1: Prime Factorization of 6228

Prime factors of 6228 are 2, 3, 173. Prime factorization of 6228 in exponential form is:

6228 = 2² × 3² × 173¹

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 6228

List of positive integer factors of 6228 that divides 6228 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 173, 346, 519, 692, 1038, 1557, 2076, 3114

Step-4: Factors of 6238

List of positive integer factors of 6238 that divides 6228 without a remainder.

1, 2, 3119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6228 and 6238. The biggest common factor number is the GCF number.
So the greatest common factor 6228 and 6238 is 2.

Also check out the Least Common Multiple of 6228 and 6238