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 8394, 8397 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8394 and 8397 is 3.
GCF(8394,8397) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8394
2 | 8394 |
3 | 4197 |
1399 | 1399 |
1 |
Prime factors of 8394 are 2,3,1399. Prime factorization of 8394 in exponential form is:
8394 = 21×31×13991
Prime Factorization of 8397
3 | 8397 |
3 | 2799 |
3 | 933 |
311 | 311 |
1 |
Prime factors of 8397 are 3,311. Prime factorization of 8397 in exponential form is:
8397 = 33×3111
∴ So by taking common prime factors GCF of 8394 and 8397 is 3
Factors of 8394
List of positive integer factors of 8394 that divides 8394 without a remainder.
1,2,3,6,1399,2798,4197,8394
Factors of 8397
List of positive integer factors of 8397 that divides 8397 without a remainder.
1,3,9,27,311,933,2799,8397
Greatest Common Factor
We found the factors and prime factorization of 8394 and 8397. The biggest common factor number is the GCF number.
So the greatest common factor 8394 and 8397 is 3.
Also check out the Least Common Multiple of 8394 and 8397
(i) The GCF of 8394 and 8397 is associative
GCF of 8394 and 8397 = GCF of 8397 and 8394
1. What is the GCF of 8394 and 8397?
Answer: GCF of 8394 and 8397 is 3.
2. What are the Factors of 8394?
Answer: Factors of 8394 are 1, 2, 3, 6, 1399, 2798, 4197, 8394. There are 8 integers that are factors of 8394. The greatest factor of 8394 is 8394.
3. What are the Factors of 8397?
Answer: Factors of 8397 are 1, 3, 9, 27, 311, 933, 2799, 8397. There are 8 integers that are factors of 8397. The greatest factor of 8397 is 8397.
4. How to Find the GCF of 8394 and 8397?
Answer:
Greatest Common Factor of 8394 and 8397 = 3
Step 1: Find the prime factorization of 8394
8394 = 2 x 3 x 1399
Step 2: Find the prime factorization of 8397
8397 = 3 x 3 x 3 x 311
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 8394 and 8397 is 3