What is the Greatest Common Factor of 8224 and 8242?

Greatest common factor (GCF) of 8224 and 8242 is 2.

GCF(8224,8242) = 2

We will now calculate the prime factors of 8224 and 8242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8224 and 8242.

How to find the GCF of 8224 and 8242?

We will first find the prime factorization of 8224 and 8242. After we will calculate the factors of 8224 and 8242 and find the biggest common factor number .

Step-1: Prime Factorization of 8224

Prime factors of 8224 are 2, 257. Prime factorization of 8224 in exponential form is:

8224 = 2⁵ × 257¹

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 8224

List of positive integer factors of 8224 that divides 8224 without a remainder.

1, 2, 4, 8, 16, 32, 257, 514, 1028, 2056, 4112

Step-4: Factors of 8242

List of positive integer factors of 8242 that divides 8224 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8224 and 8242. The biggest common factor number is the GCF number.
So the greatest common factor 8224 and 8242 is 2.

Also check out the Least Common Multiple of 8224 and 8242