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 2394, 2399 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2394 and 2399 is 1.
GCF(2394,2399) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2394
2 | 2394 |
3 | 1197 |
3 | 399 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 2394 are 2,3,7,19. Prime factorization of 2394 in exponential form is:
2394 = 21×32×71×191
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 2394 and 2399 is 1
Factors of 2394
List of positive integer factors of 2394 that divides 2394 without a remainder.
1,2,3,6,7,9,14,18,19,21,38,42,57,63,114,126,133,171,266,342,399,798,1197,2394
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 2394 and 2399. The biggest common factor number is the GCF number.
So the greatest common factor 2394 and 2399 is 1.
Also check out the Least Common Multiple of 2394 and 2399
(i) The GCF of 2394 and 2399 is associative
GCF of 2394 and 2399 = GCF of 2399 and 2394
1. What is the GCF of 2394 and 2399?
Answer: GCF of 2394 and 2399 is 1.
2. What are the Factors of 2394?
Answer: Factors of 2394 are 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 399, 798, 1197, 2394. There are 24 integers that are factors of 2394. The greatest factor of 2394 is 2394.
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 2394 and 2399?
Answer:
Greatest Common Factor of 2394 and 2399 = 1
Step 1: Find the prime factorization of 2394
2394 = 2 x 3 x 3 x 7 x 19
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 2394 and 2399 is 1