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 6897, 6902 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6897 and 6902 is 1.
GCF(6897,6902) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6897
3 | 6897 |
11 | 2299 |
11 | 209 |
19 | 19 |
1 |
Prime factors of 6897 are 3,11,19. Prime factorization of 6897 in exponential form is:
6897 = 31×112×191
Prime Factorization of 6902
2 | 6902 |
7 | 3451 |
17 | 493 |
29 | 29 |
1 |
Prime factors of 6902 are 2,7,17,29. Prime factorization of 6902 in exponential form is:
6902 = 21×71×171×291
∴ So by taking common prime factors GCF of 6897 and 6902 is 1
Factors of 6897
List of positive integer factors of 6897 that divides 6897 without a remainder.
1,3,11,19,33,57,121,209,363,627,2299,6897
Factors of 6902
List of positive integer factors of 6902 that divides 6902 without a remainder.
1,2,7,14,17,29,34,58,119,203,238,406,493,986,3451,6902
Greatest Common Factor
We found the factors and prime factorization of 6897 and 6902. The biggest common factor number is the GCF number.
So the greatest common factor 6897 and 6902 is 1.
Also check out the Least Common Multiple of 6897 and 6902
(i) The GCF of 6897 and 6902 is associative
GCF of 6897 and 6902 = GCF of 6902 and 6897
1. What is the GCF of 6897 and 6902?
Answer: GCF of 6897 and 6902 is 1.
2. What are the Factors of 6897?
Answer: Factors of 6897 are 1, 3, 11, 19, 33, 57, 121, 209, 363, 627, 2299, 6897. There are 12 integers that are factors of 6897. The greatest factor of 6897 is 6897.
3. What are the Factors of 6902?
Answer: Factors of 6902 are 1, 2, 7, 14, 17, 29, 34, 58, 119, 203, 238, 406, 493, 986, 3451, 6902. There are 16 integers that are factors of 6902. The greatest factor of 6902 is 6902.
4. How to Find the GCF of 6897 and 6902?
Answer:
Greatest Common Factor of 6897 and 6902 = 1
Step 1: Find the prime factorization of 6897
6897 = 3 x 11 x 11 x 19
Step 2: Find the prime factorization of 6902
6902 = 2 x 7 x 17 x 29
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 6897 and 6902 is 1