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 6867, 6873 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6867 and 6873 is 3.
GCF(6867,6873) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6867
3 | 6867 |
3 | 2289 |
7 | 763 |
109 | 109 |
1 |
Prime factors of 6867 are 3,7,109. Prime factorization of 6867 in exponential form is:
6867 = 32×71×1091
Prime Factorization of 6873
3 | 6873 |
29 | 2291 |
79 | 79 |
1 |
Prime factors of 6873 are 3,29,79. Prime factorization of 6873 in exponential form is:
6873 = 31×291×791
∴ So by taking common prime factors GCF of 6867 and 6873 is 3
Factors of 6867
List of positive integer factors of 6867 that divides 6867 without a remainder.
1,3,7,9,21,63,109,327,763,981,2289,6867
Factors of 6873
List of positive integer factors of 6873 that divides 6873 without a remainder.
1,3,29,79,87,237,2291,6873
Greatest Common Factor
We found the factors and prime factorization of 6867 and 6873. The biggest common factor number is the GCF number.
So the greatest common factor 6867 and 6873 is 3.
Also check out the Least Common Multiple of 6867 and 6873
(i) The GCF of 6867 and 6873 is associative
GCF of 6867 and 6873 = GCF of 6873 and 6867
1. What is the GCF of 6867 and 6873?
Answer: GCF of 6867 and 6873 is 3.
2. What are the Factors of 6867?
Answer: Factors of 6867 are 1, 3, 7, 9, 21, 63, 109, 327, 763, 981, 2289, 6867. There are 12 integers that are factors of 6867. The greatest factor of 6867 is 6867.
3. What are the Factors of 6873?
Answer: Factors of 6873 are 1, 3, 29, 79, 87, 237, 2291, 6873. There are 8 integers that are factors of 6873. The greatest factor of 6873 is 6873.
4. How to Find the GCF of 6867 and 6873?
Answer:
Greatest Common Factor of 6867 and 6873 = 3
Step 1: Find the prime factorization of 6867
6867 = 3 x 3 x 7 x 109
Step 2: Find the prime factorization of 6873
6873 = 3 x 29 x 79
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 6867 and 6873 is 3