What is the Greatest Common Factor of 12214 and 12228?

Greatest common factor (GCF) of 12214 and 12228 is 2.

GCF(12214,12228) = 2

We will now calculate the prime factors of 12214 and 12228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12214 and 12228.

How to find the GCF of 12214 and 12228?

We will first find the prime factorization of 12214 and 12228. After we will calculate the factors of 12214 and 12228 and find the biggest common factor number .

Step-1: Prime Factorization of 12214

Prime factors of 12214 are 2, 31, 197. Prime factorization of 12214 in exponential form is:

12214 = 2¹ × 31¹ × 197¹

Step-2: Prime Factorization of 12228

Prime factors of 12228 are 2, 3, 1019. Prime factorization of 12228 in exponential form is:

12228 = 2² × 3¹ × 1019¹

Step-3: Factors of 12214

List of positive integer factors of 12214 that divides 12214 without a remainder.

1, 2, 31, 62, 197, 394, 6107

Step-4: Factors of 12228

List of positive integer factors of 12228 that divides 12214 without a remainder.

1, 2, 3, 4, 6, 12, 1019, 2038, 3057, 4076, 6114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12214 and 12228. The biggest common factor number is the GCF number.
So the greatest common factor 12214 and 12228 is 2.

Also check out the Least Common Multiple of 12214 and 12228