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 6680, 6686 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6680 and 6686 is 2.
GCF(6680,6686) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6680
2 | 6680 |
2 | 3340 |
2 | 1670 |
5 | 835 |
167 | 167 |
1 |
Prime factors of 6680 are 2,5,167. Prime factorization of 6680 in exponential form is:
6680 = 23×51×1671
Prime Factorization of 6686
2 | 6686 |
3343 | 3343 |
1 |
Prime factors of 6686 are 2,3343. Prime factorization of 6686 in exponential form is:
6686 = 21×33431
∴ So by taking common prime factors GCF of 6680 and 6686 is 2
Factors of 6680
List of positive integer factors of 6680 that divides 6680 without a remainder.
1,2,4,5,8,10,20,40,167,334,668,835,1336,1670,3340,6680
Factors of 6686
List of positive integer factors of 6686 that divides 6686 without a remainder.
1,2,3343,6686
Greatest Common Factor
We found the factors and prime factorization of 6680 and 6686. The biggest common factor number is the GCF number.
So the greatest common factor 6680 and 6686 is 2.
Also check out the Least Common Multiple of 6680 and 6686
(i) The GCF of 6680 and 6686 is associative
GCF of 6680 and 6686 = GCF of 6686 and 6680
1. What is the GCF of 6680 and 6686?
Answer: GCF of 6680 and 6686 is 2.
2. What are the Factors of 6680?
Answer: Factors of 6680 are 1, 2, 4, 5, 8, 10, 20, 40, 167, 334, 668, 835, 1336, 1670, 3340, 6680. There are 16 integers that are factors of 6680. The greatest factor of 6680 is 6680.
3. What are the Factors of 6686?
Answer: Factors of 6686 are 1, 2, 3343, 6686. There are 4 integers that are factors of 6686. The greatest factor of 6686 is 6686.
4. How to Find the GCF of 6680 and 6686?
Answer:
Greatest Common Factor of 6680 and 6686 = 2
Step 1: Find the prime factorization of 6680
6680 = 2 x 2 x 2 x 5 x 167
Step 2: Find the prime factorization of 6686
6686 = 2 x 3343
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 6680 and 6686 is 2