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 2398, 2399 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2398 and 2399 is 1.
GCF(2398,2399) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2398
2 | 2398 |
11 | 1199 |
109 | 109 |
1 |
Prime factors of 2398 are 2,11,109. Prime factorization of 2398 in exponential form is:
2398 = 21×111×1091
Prime Factorization of 2399
2399 | 2399 |
1 |
Prime factors of 2399 are 2399. Prime factorization of 2399 in exponential form is:
2399 = 23991
∴ So by taking common prime factors GCF of 2398 and 2399 is 1
Factors of 2398
List of positive integer factors of 2398 that divides 2398 without a remainder.
1,2,11,22,109,218,1199,2398
Factors of 2399
List of positive integer factors of 2399 that divides 2399 without a remainder.
1,2399
Greatest Common Factor
We found the factors and prime factorization of 2398 and 2399. The biggest common factor number is the GCF number.
So the greatest common factor 2398 and 2399 is 1.
Also check out the Least Common Multiple of 2398 and 2399
(i) The GCF of 2398 and 2399 is associative
GCF of 2398 and 2399 = GCF of 2399 and 2398
1. What is the GCF of 2398 and 2399?
Answer: GCF of 2398 and 2399 is 1.
2. What are the Factors of 2398?
Answer: Factors of 2398 are 1, 2, 11, 22, 109, 218, 1199, 2398. There are 8 integers that are factors of 2398. The greatest factor of 2398 is 2398.
3. What are the Factors of 2399?
Answer: Factors of 2399 are 1, 2399. There are 2 integers that are factors of 2399. The greatest factor of 2399 is 2399.
4. How to Find the GCF of 2398 and 2399?
Answer:
Greatest Common Factor of 2398 and 2399 = 1
Step 1: Find the prime factorization of 2398
2398 = 2 x 11 x 109
Step 2: Find the prime factorization of 2399
2399 = 2399
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 2398 and 2399 is 1