What is the Greatest Common Factor of 8242 and 8256?

Greatest common factor (GCF) of 8242 and 8256 is 2.

GCF(8242,8256) = 2

We will now calculate the prime factors of 8242 and 8256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8242 and 8256.

How to find the GCF of 8242 and 8256?

We will first find the prime factorization of 8242 and 8256. After we will calculate the factors of 8242 and 8256 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8256

Prime factors of 8256 are 2, 3, 43. Prime factorization of 8256 in exponential form is:

8256 = 2⁶ × 3¹ × 43¹

Step-3: Factors of 8242

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

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

Step-4: Factors of 8256

List of positive integer factors of 8256 that divides 8242 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 129, 172, 192, 258, 344, 516, 688, 1032, 1376, 2064, 2752, 4128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8242 and 8256. The biggest common factor number is the GCF number.
So the greatest common factor 8242 and 8256 is 2.

Also check out the Least Common Multiple of 8242 and 8256