What is the Greatest Common Factor of 8212 and 8228?

Greatest common factor (GCF) of 8212 and 8228 is 4.

GCF(8212,8228) = 4

We will now calculate the prime factors of 8212 and 8228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8212 and 8228.

How to find the GCF of 8212 and 8228?

We will first find the prime factorization of 8212 and 8228. After we will calculate the factors of 8212 and 8228 and find the biggest common factor number .

Step-1: Prime Factorization of 8212

Prime factors of 8212 are 2, 2053. Prime factorization of 8212 in exponential form is:

8212 = 2² × 2053¹

Step-2: Prime Factorization of 8228

Prime factors of 8228 are 2, 11, 17. Prime factorization of 8228 in exponential form is:

8228 = 2² × 11² × 17¹

Step-3: Factors of 8212

List of positive integer factors of 8212 that divides 8212 without a remainder.

1, 2, 4, 2053, 4106

Step-4: Factors of 8228

List of positive integer factors of 8228 that divides 8212 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 121, 187, 242, 374, 484, 748, 2057, 4114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8212 and 8228. The biggest common factor number is the GCF number.
So the greatest common factor 8212 and 8228 is 4.

Also check out the Least Common Multiple of 8212 and 8228