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 6873, 6880 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6873 and 6880 is 1.
GCF(6873,6880) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 6880
2 | 6880 |
2 | 3440 |
2 | 1720 |
2 | 860 |
2 | 430 |
5 | 215 |
43 | 43 |
1 |
Prime factors of 6880 are 2,5,43. Prime factorization of 6880 in exponential form is:
6880 = 25×51×431
∴ So by taking common prime factors GCF of 6873 and 6880 is 1
Factors of 6873
List of positive integer factors of 6873 that divides 6873 without a remainder.
1,3,29,79,87,237,2291,6873
Factors of 6880
List of positive integer factors of 6880 that divides 6880 without a remainder.
1,2,4,5,8,10,16,20,32,40,43,80,86,160,172,215,344,430,688,860,1376,1720,3440,6880
Greatest Common Factor
We found the factors and prime factorization of 6873 and 6880. The biggest common factor number is the GCF number.
So the greatest common factor 6873 and 6880 is 1.
Also check out the Least Common Multiple of 6873 and 6880
(i) The GCF of 6873 and 6880 is associative
GCF of 6873 and 6880 = GCF of 6880 and 6873
1. What is the GCF of 6873 and 6880?
Answer: GCF of 6873 and 6880 is 1.
2. 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.
3. What are the Factors of 6880?
Answer: Factors of 6880 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 80, 86, 160, 172, 215, 344, 430, 688, 860, 1376, 1720, 3440, 6880. There are 24 integers that are factors of 6880. The greatest factor of 6880 is 6880.
4. How to Find the GCF of 6873 and 6880?
Answer:
Greatest Common Factor of 6873 and 6880 = 1
Step 1: Find the prime factorization of 6873
6873 = 3 x 29 x 79
Step 2: Find the prime factorization of 6880
6880 = 2 x 2 x 2 x 2 x 2 x 5 x 43
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 6873 and 6880 is 1