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, 2400 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2394 and 2400 is 6.
GCF(2394,2400) = 6
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 2400
2 | 2400 |
2 | 1200 |
2 | 600 |
2 | 300 |
2 | 150 |
3 | 75 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 2400 are 2,3,5. Prime factorization of 2400 in exponential form is:
2400 = 25×31×52
∴ So by taking common prime factors GCF of 2394 and 2400 is 6
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 2400
List of positive integer factors of 2400 that divides 2400 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,75,80,96,100,120,150,160,200,240,300,400,480,600,800,1200,2400
Greatest Common Factor
We found the factors and prime factorization of 2394 and 2400. The biggest common factor number is the GCF number.
So the greatest common factor 2394 and 2400 is 6.
Also check out the Least Common Multiple of 2394 and 2400
(i) The GCF of 2394 and 2400 is associative
GCF of 2394 and 2400 = GCF of 2400 and 2394
1. What is the GCF of 2394 and 2400?
Answer: GCF of 2394 and 2400 is 6.
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 2400?
Answer: Factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400. There are 36 integers that are factors of 2400. The greatest factor of 2400 is 2400.
4. How to Find the GCF of 2394 and 2400?
Answer:
Greatest Common Factor of 2394 and 2400 = 6
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 2400
2400 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5
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 2394 and 2400 is 6