What is the Greatest Common Factor of 8229 and 8242?

Greatest common factor (GCF) of 8229 and 8242 is 13.

GCF(8229,8242) = 13

We will now calculate the prime factors of 8229 and 8242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8229 and 8242.

How to find the GCF of 8229 and 8242?

We will first find the prime factorization of 8229 and 8242. After we will calculate the factors of 8229 and 8242 and find the biggest common factor number .

Step-1: Prime Factorization of 8229

Prime factors of 8229 are 3, 13, 211. Prime factorization of 8229 in exponential form is:

8229 = 3¹ × 13¹ × 211¹

Step-2: Prime Factorization of 8242

Prime factors of 8242 are 2, 13, 317. Prime factorization of 8242 in exponential form is:

8242 = 2¹ × 13¹ × 317¹

Step-3: Factors of 8229

List of positive integer factors of 8229 that divides 8229 without a remainder.

1, 3, 13, 39, 211, 633, 2743

Step-4: Factors of 8242

List of positive integer factors of 8242 that divides 8229 without a remainder.

1, 2, 13, 26, 317, 634, 4121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8229 and 8242. The biggest common factor number is the GCF number.
So the greatest common factor 8229 and 8242 is 13.

Also check out the Least Common Multiple of 8229 and 8242