What is the Greatest Common Factor of 8320 and 8338?

Greatest common factor (GCF) of 8320 and 8338 is 2.

GCF(8320,8338) = 2

We will now calculate the prime factors of 8320 and 8338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8320 and 8338.

How to find the GCF of 8320 and 8338?

We will first find the prime factorization of 8320 and 8338. After we will calculate the factors of 8320 and 8338 and find the biggest common factor number .

Step-1: Prime Factorization of 8320

Prime factors of 8320 are 2, 5, 13. Prime factorization of 8320 in exponential form is:

8320 = 2⁷ × 5¹ × 13¹

Step-2: Prime Factorization of 8338

Prime factors of 8338 are 2, 11, 379. Prime factorization of 8338 in exponential form is:

8338 = 2¹ × 11¹ × 379¹

Step-3: Factors of 8320

List of positive integer factors of 8320 that divides 8320 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 128, 130, 160, 208, 260, 320, 416, 520, 640, 832, 1040, 1664, 2080, 4160

Step-4: Factors of 8338

List of positive integer factors of 8338 that divides 8320 without a remainder.

1, 2, 11, 22, 379, 758, 4169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8320 and 8338. The biggest common factor number is the GCF number.
So the greatest common factor 8320 and 8338 is 2.

Also check out the Least Common Multiple of 8320 and 8338