Greatest Common Factor of 8398 and 8399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 8398, 8399 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8398 and 8399 is 1.

GCF(8398,8399) = 1

GCF of 8398 and 8399

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 8398 and 8399

GCF of 8398 and 8399 is 1

Prime Factorization of 8398


2 8398
13 4199
17 323
19 19
1

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

8398 = 21×131×171×191

Prime Factorization of 8399


37 8399
227 227
1

Prime factors of 8399 are 37,227. Prime factorization of 8399 in exponential form is:

8399 = 371×2271

∴ So by taking common prime factors GCF of 8398 and 8399 is 1

Greatest Common Factor of 8398 and 8399 by matching factors method

Factors of 8398

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

1,2,13,17,19,26,34,38,221,247,323,442,494,646,4199,8398

Factors of 8399

List of positive integer factors of 8399 that divides 8399 without a remainder.

1,37,227,8399

Greatest Common Factor

We found the factors and prime factorization of 8398 and 8399. The biggest common factor number is the GCF number.
So the greatest common factor 8398 and 8399 is 1.

Also check out the Least Common Multiple of 8398 and 8399

Properties of GCF 8398 and 8399

(i) The GCF of 8398 and 8399 is associative

GCF of 8398 and 8399 = GCF of 8399 and 8398

Frequently Asked Questions on GCF of 8398 and 8399

1. What is the GCF of 8398 and 8399?

Answer: GCF of 8398 and 8399 is 1.

2. What are the Factors of 8398?

Answer: Factors of 8398 are 1, 2, 13, 17, 19, 26, 34, 38, 221, 247, 323, 442, 494, 646, 4199, 8398. There are 16 integers that are factors of 8398. The greatest factor of 8398 is 8398.

3. What are the Factors of 8399?

Answer: Factors of 8399 are 1, 37, 227, 8399. There are 4 integers that are factors of 8399. The greatest factor of 8399 is 8399.

4. How to Find the GCF of 8398 and 8399?

Answer:

Greatest Common Factor of 8398 and 8399 = 1

Step 1: Find the prime factorization of 8398

8398 = 2 x 13 x 17 x 19

Step 2: Find the prime factorization of 8399

8399 = 37 x 227

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 8398 and 8399 is 1