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 2388, 2394 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2388 and 2394 is 6.
GCF(2388,2394) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2388
2 | 2388 |
2 | 1194 |
3 | 597 |
199 | 199 |
1 |
Prime factors of 2388 are 2,3,199. Prime factorization of 2388 in exponential form is:
2388 = 22×31×1991
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
∴ So by taking common prime factors GCF of 2388 and 2394 is 6
Factors of 2388
List of positive integer factors of 2388 that divides 2388 without a remainder.
1,2,3,4,6,12,199,398,597,796,1194,2388
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
Greatest Common Factor
We found the factors and prime factorization of 2388 and 2394. The biggest common factor number is the GCF number.
So the greatest common factor 2388 and 2394 is 6.
Also check out the Least Common Multiple of 2388 and 2394
(i) The GCF of 2388 and 2394 is associative
GCF of 2388 and 2394 = GCF of 2394 and 2388
1. What is the GCF of 2388 and 2394?
Answer: GCF of 2388 and 2394 is 6.
2. What are the Factors of 2388?
Answer: Factors of 2388 are 1, 2, 3, 4, 6, 12, 199, 398, 597, 796, 1194, 2388. There are 12 integers that are factors of 2388. The greatest factor of 2388 is 2388.
3. 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.
4. How to Find the GCF of 2388 and 2394?
Answer:
Greatest Common Factor of 2388 and 2394 = 6
Step 1: Find the prime factorization of 2388
2388 = 2 x 2 x 3 x 199
Step 2: Find the prime factorization of 2394
2394 = 2 x 3 x 3 x 7 x 19
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 2388 and 2394 is 6