What is the Greatest Common Factor of 8338 and 8353?

Greatest common factor (GCF) of 8338 and 8353 is 1.

GCF(8338,8353) = 1

We will now calculate the prime factors of 8338 and 8353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8338 and 8353.

How to find the GCF of 8338 and 8353?

We will first find the prime factorization of 8338 and 8353. After we will calculate the factors of 8338 and 8353 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8353

Prime factors of 8353 are 8353. Prime factorization of 8353 in exponential form is:

8353 = 8353¹

Step-3: Factors of 8338

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

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

Step-4: Factors of 8353

List of positive integer factors of 8353 that divides 8338 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8338 and 8353. The biggest common factor number is the GCF number.
So the greatest common factor 8338 and 8353 is 1.

Also check out the Least Common Multiple of 8338 and 8353