Greatest Common Factor of 2388 and 2394

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

GCF of 2388 and 2394

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 2388 and 2394

GCF of 2388 and 2394 is 6

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

Greatest Common Factor of 2388 and 2394 by matching factors method

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

Properties of GCF 2388 and 2394

(i) The GCF of 2388 and 2394 is associative

GCF of 2388 and 2394 = GCF of 2394 and 2388

Related Greatest Common Factor of 2388

Related Greatest Common Factor of 2394

Frequently Asked Questions on GCF of 2388 and 2394

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