What is the Greatest Common Factor of 8349 and 8353?

Greatest common factor (GCF) of 8349 and 8353 is 1.

GCF(8349,8353) = 1

We will now calculate the prime factors of 8349 and 8353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8349 and 8353.

How to find the GCF of 8349 and 8353?

We will first find the prime factorization of 8349 and 8353. After we will calculate the factors of 8349 and 8353 and find the biggest common factor number .

Step-1: Prime Factorization of 8349

Prime factors of 8349 are 3, 11, 23. Prime factorization of 8349 in exponential form is:

8349 = 3¹ × 11² × 23¹

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 8349

List of positive integer factors of 8349 that divides 8349 without a remainder.

1, 3, 11, 23, 33, 69, 121, 253, 363, 759, 2783

Step-4: Factors of 8353

List of positive integer factors of 8353 that divides 8349 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8349 and 8353. The biggest common factor number is the GCF number.
So the greatest common factor 8349 and 8353 is 1.

Also check out the Least Common Multiple of 8349 and 8353