What is the Greatest Common Factor of 8374 and 8379?

Greatest common factor (GCF) of 8374 and 8379 is 1.

GCF(8374,8379) = 1

We will now calculate the prime factors of 8374 and 8379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8374 and 8379.

How to find the GCF of 8374 and 8379?

We will first find the prime factorization of 8374 and 8379. After we will calculate the factors of 8374 and 8379 and find the biggest common factor number .

Step-1: Prime Factorization of 8374

Prime factors of 8374 are 2, 53, 79. Prime factorization of 8374 in exponential form is:

8374 = 2¹ × 53¹ × 79¹

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 8374

List of positive integer factors of 8374 that divides 8374 without a remainder.

1, 2, 53, 79, 106, 158, 4187

Step-4: Factors of 8379

List of positive integer factors of 8379 that divides 8374 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 8374 and 8379. The biggest common factor number is the GCF number.
So the greatest common factor 8374 and 8379 is 1.

Also check out the Least Common Multiple of 8374 and 8379