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 2397, 2404 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2397 and 2404 is 1.
GCF(2397,2404) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2397
3 | 2397 |
17 | 799 |
47 | 47 |
1 |
Prime factors of 2397 are 3,17,47. Prime factorization of 2397 in exponential form is:
2397 = 31×171×471
Prime Factorization of 2404
2 | 2404 |
2 | 1202 |
601 | 601 |
1 |
Prime factors of 2404 are 2,601. Prime factorization of 2404 in exponential form is:
2404 = 22×6011
∴ So by taking common prime factors GCF of 2397 and 2404 is 1
Factors of 2397
List of positive integer factors of 2397 that divides 2397 without a remainder.
1,3,17,47,51,141,799,2397
Factors of 2404
List of positive integer factors of 2404 that divides 2404 without a remainder.
1,2,4,601,1202,2404
Greatest Common Factor
We found the factors and prime factorization of 2397 and 2404. The biggest common factor number is the GCF number.
So the greatest common factor 2397 and 2404 is 1.
Also check out the Least Common Multiple of 2397 and 2404
(i) The GCF of 2397 and 2404 is associative
GCF of 2397 and 2404 = GCF of 2404 and 2397
1. What is the GCF of 2397 and 2404?
Answer: GCF of 2397 and 2404 is 1.
2. What are the Factors of 2397?
Answer: Factors of 2397 are 1, 3, 17, 47, 51, 141, 799, 2397. There are 8 integers that are factors of 2397. The greatest factor of 2397 is 2397.
3. What are the Factors of 2404?
Answer: Factors of 2404 are 1, 2, 4, 601, 1202, 2404. There are 6 integers that are factors of 2404. The greatest factor of 2404 is 2404.
4. How to Find the GCF of 2397 and 2404?
Answer:
Greatest Common Factor of 2397 and 2404 = 1
Step 1: Find the prime factorization of 2397
2397 = 3 x 17 x 47
Step 2: Find the prime factorization of 2404
2404 = 2 x 2 x 601
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 2397 and 2404 is 1