What is the Greatest Common Factor of 8228 and 8234?

Greatest common factor (GCF) of 8228 and 8234 is 2.

GCF(8228,8234) = 2

We will now calculate the prime factors of 8228 and 8234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8228 and 8234.

How to find the GCF of 8228 and 8234?

We will first find the prime factorization of 8228 and 8234. After we will calculate the factors of 8228 and 8234 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8234

Prime factors of 8234 are 2, 23, 179. Prime factorization of 8234 in exponential form is:

8234 = 2¹ × 23¹ × 179¹

Step-3: Factors of 8228

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

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

Step-4: Factors of 8234

List of positive integer factors of 8234 that divides 8228 without a remainder.

1, 2, 23, 46, 179, 358, 4117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8228 and 8234. The biggest common factor number is the GCF number.
So the greatest common factor 8228 and 8234 is 2.

Also check out the Least Common Multiple of 8228 and 8234