What is the Greatest Common Factor of 8228 and 8245?

Greatest common factor (GCF) of 8228 and 8245 is 17.

GCF(8228,8245) = 17

We will now calculate the prime factors of 8228 and 8245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8228 and 8245.

How to find the GCF of 8228 and 8245?

We will first find the prime factorization of 8228 and 8245. After we will calculate the factors of 8228 and 8245 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 8245

Prime factors of 8245 are 5, 17, 97. Prime factorization of 8245 in exponential form is:

8245 = 5¹ × 17¹ × 97¹

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 8245

List of positive integer factors of 8245 that divides 8228 without a remainder.

1, 5, 17, 85, 97, 485, 1649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8228 and 8245. The biggest common factor number is the GCF number.
So the greatest common factor 8228 and 8245 is 17.

Also check out the Least Common Multiple of 8228 and 8245