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 2392, 2398 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2392 and 2398 is 2.
GCF(2392,2398) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2392
2 | 2392 |
2 | 1196 |
2 | 598 |
13 | 299 |
23 | 23 |
1 |
Prime factors of 2392 are 2,13,23. Prime factorization of 2392 in exponential form is:
2392 = 23×131×231
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
∴ So by taking common prime factors GCF of 2392 and 2398 is 2
Factors of 2392
List of positive integer factors of 2392 that divides 2392 without a remainder.
1,2,4,8,13,23,26,46,52,92,104,184,299,598,1196,2392
Factors of 2398
List of positive integer factors of 2398 that divides 2398 without a remainder.
1,2,11,22,109,218,1199,2398
Greatest Common Factor
We found the factors and prime factorization of 2392 and 2398. The biggest common factor number is the GCF number.
So the greatest common factor 2392 and 2398 is 2.
Also check out the Least Common Multiple of 2392 and 2398
(i) The GCF of 2392 and 2398 is associative
GCF of 2392 and 2398 = GCF of 2398 and 2392
1. What is the GCF of 2392 and 2398?
Answer: GCF of 2392 and 2398 is 2.
2. What are the Factors of 2392?
Answer: Factors of 2392 are 1, 2, 4, 8, 13, 23, 26, 46, 52, 92, 104, 184, 299, 598, 1196, 2392. There are 16 integers that are factors of 2392. The greatest factor of 2392 is 2392.
3. 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.
4. How to Find the GCF of 2392 and 2398?
Answer:
Greatest Common Factor of 2392 and 2398 = 2
Step 1: Find the prime factorization of 2392
2392 = 2 x 2 x 2 x 13 x 23
Step 2: Find the prime factorization of 2398
2398 = 2 x 11 x 109
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 2392 and 2398 is 2