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
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
(i) The GCF of 8398 and 8399 is associative
GCF of 8398 and 8399 = GCF of 8399 and 8398
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