What is the Greatest Common Factor of 8398 and 8413?

Greatest common factor (GCF) of 8398 and 8413 is 1.

GCF(8398,8413) = 1

We will now calculate the prime factors of 8398 and 8413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8398 and 8413.

How to find the GCF of 8398 and 8413?

We will first find the prime factorization of 8398 and 8413. After we will calculate the factors of 8398 and 8413 and find the biggest common factor number .

Step-1: Prime Factorization of 8398

Prime factors of 8398 are 2, 13, 17, 19. Prime factorization of 8398 in exponential form is:

8398 = 2¹ × 13¹ × 17¹ × 19¹

Step-2: Prime Factorization of 8413

Prime factors of 8413 are 47, 179. Prime factorization of 8413 in exponential form is:

8413 = 47¹ × 179¹

Step-3: Factors of 8398

List of positive integer factors of 8398 that divides 8398 without a remainder.

1, 2, 13, 17, 19, 26, 34, 38, 221, 247, 323, 442, 494, 646, 4199

Step-4: Factors of 8413

List of positive integer factors of 8413 that divides 8398 without a remainder.

1, 47, 179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8398 and 8413. The biggest common factor number is the GCF number.
So the greatest common factor 8398 and 8413 is 1.

Also check out the Least Common Multiple of 8398 and 8413