What is the Greatest Common Factor of 8379 and 8393?

Greatest common factor (GCF) of 8379 and 8393 is 7.

GCF(8379,8393) = 7

We will now calculate the prime factors of 8379 and 8393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8379 and 8393.

How to find the GCF of 8379 and 8393?

We will first find the prime factorization of 8379 and 8393. After we will calculate the factors of 8379 and 8393 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8393

Prime factors of 8393 are 7, 11, 109. Prime factorization of 8393 in exponential form is:

8393 = 7¹ × 11¹ × 109¹

Step-3: Factors of 8379

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

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

Step-4: Factors of 8393

List of positive integer factors of 8393 that divides 8379 without a remainder.

1, 7, 11, 77, 109, 763, 1199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8379 and 8393. The biggest common factor number is the GCF number.
So the greatest common factor 8379 and 8393 is 7.

Also check out the Least Common Multiple of 8379 and 8393