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 6884, 6886 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6884 and 6886 is 2.
GCF(6884,6886) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6884
2 | 6884 |
2 | 3442 |
1721 | 1721 |
1 |
Prime factors of 6884 are 2,1721. Prime factorization of 6884 in exponential form is:
6884 = 22×17211
Prime Factorization of 6886
2 | 6886 |
11 | 3443 |
313 | 313 |
1 |
Prime factors of 6886 are 2,11,313. Prime factorization of 6886 in exponential form is:
6886 = 21×111×3131
∴ So by taking common prime factors GCF of 6884 and 6886 is 2
Factors of 6884
List of positive integer factors of 6884 that divides 6884 without a remainder.
1,2,4,1721,3442,6884
Factors of 6886
List of positive integer factors of 6886 that divides 6886 without a remainder.
1,2,11,22,313,626,3443,6886
Greatest Common Factor
We found the factors and prime factorization of 6884 and 6886. The biggest common factor number is the GCF number.
So the greatest common factor 6884 and 6886 is 2.
Also check out the Least Common Multiple of 6884 and 6886
(i) The GCF of 6884 and 6886 is associative
GCF of 6884 and 6886 = GCF of 6886 and 6884
1. What is the GCF of 6884 and 6886?
Answer: GCF of 6884 and 6886 is 2.
2. What are the Factors of 6884?
Answer: Factors of 6884 are 1, 2, 4, 1721, 3442, 6884. There are 6 integers that are factors of 6884. The greatest factor of 6884 is 6884.
3. What are the Factors of 6886?
Answer: Factors of 6886 are 1, 2, 11, 22, 313, 626, 3443, 6886. There are 8 integers that are factors of 6886. The greatest factor of 6886 is 6886.
4. How to Find the GCF of 6884 and 6886?
Answer:
Greatest Common Factor of 6884 and 6886 = 2
Step 1: Find the prime factorization of 6884
6884 = 2 x 2 x 1721
Step 2: Find the prime factorization of 6886
6886 = 2 x 11 x 313
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 6884 and 6886 is 2