What is the Greatest Common Factor of 8228 and 8239?

Greatest common factor (GCF) of 8228 and 8239 is 11.

GCF(8228,8239) = 11

We will now calculate the prime factors of 8228 and 8239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8228 and 8239.

How to find the GCF of 8228 and 8239?

We will first find the prime factorization of 8228 and 8239. After we will calculate the factors of 8228 and 8239 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 8239

Prime factors of 8239 are 7, 11, 107. Prime factorization of 8239 in exponential form is:

8239 = 7¹ × 11¹ × 107¹

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 8239

List of positive integer factors of 8239 that divides 8228 without a remainder.

1, 7, 11, 77, 107, 749, 1177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8228 and 8239. The biggest common factor number is the GCF number.
So the greatest common factor 8228 and 8239 is 11.

Also check out the Least Common Multiple of 8228 and 8239