What is the Greatest Common Factor of 8369 and 8379?

Greatest common factor (GCF) of 8369 and 8379 is 1.

GCF(8369,8379) = 1

We will now calculate the prime factors of 8369 and 8379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8369 and 8379.

How to find the GCF of 8369 and 8379?

We will first find the prime factorization of 8369 and 8379. After we will calculate the factors of 8369 and 8379 and find the biggest common factor number .

Step-1: Prime Factorization of 8369

Prime factors of 8369 are 8369. Prime factorization of 8369 in exponential form is:

8369 = 8369¹

Step-2: Prime Factorization of 8379

Prime factors of 8379 are 3, 7, 19. Prime factorization of 8379 in exponential form is:

8379 = 3² × 7² × 19¹

Step-3: Factors of 8369

List of positive integer factors of 8369 that divides 8369 without a remainder.

Step-4: Factors of 8379

List of positive integer factors of 8379 that divides 8369 without a remainder.

1, 3, 7, 9, 19, 21, 49, 57, 63, 133, 147, 171, 399, 441, 931, 1197, 2793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8369 and 8379. The biggest common factor number is the GCF number.
So the greatest common factor 8369 and 8379 is 1.

Also check out the Least Common Multiple of 8369 and 8379