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 6808, 6814 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6808 and 6814 is 2.
GCF(6808,6814) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6808
2 | 6808 |
2 | 3404 |
2 | 1702 |
23 | 851 |
37 | 37 |
1 |
Prime factors of 6808 are 2,23,37. Prime factorization of 6808 in exponential form is:
6808 = 23×231×371
Prime Factorization of 6814
2 | 6814 |
3407 | 3407 |
1 |
Prime factors of 6814 are 2,3407. Prime factorization of 6814 in exponential form is:
6814 = 21×34071
∴ So by taking common prime factors GCF of 6808 and 6814 is 2
Factors of 6808
List of positive integer factors of 6808 that divides 6808 without a remainder.
1,2,4,8,23,37,46,74,92,148,184,296,851,1702,3404,6808
Factors of 6814
List of positive integer factors of 6814 that divides 6814 without a remainder.
1,2,3407,6814
Greatest Common Factor
We found the factors and prime factorization of 6808 and 6814. The biggest common factor number is the GCF number.
So the greatest common factor 6808 and 6814 is 2.
Also check out the Least Common Multiple of 6808 and 6814
(i) The GCF of 6808 and 6814 is associative
GCF of 6808 and 6814 = GCF of 6814 and 6808
1. What is the GCF of 6808 and 6814?
Answer: GCF of 6808 and 6814 is 2.
2. What are the Factors of 6808?
Answer: Factors of 6808 are 1, 2, 4, 8, 23, 37, 46, 74, 92, 148, 184, 296, 851, 1702, 3404, 6808. There are 16 integers that are factors of 6808. The greatest factor of 6808 is 6808.
3. What are the Factors of 6814?
Answer: Factors of 6814 are 1, 2, 3407, 6814. There are 4 integers that are factors of 6814. The greatest factor of 6814 is 6814.
4. How to Find the GCF of 6808 and 6814?
Answer:
Greatest Common Factor of 6808 and 6814 = 2
Step 1: Find the prime factorization of 6808
6808 = 2 x 2 x 2 x 23 x 37
Step 2: Find the prime factorization of 6814
6814 = 2 x 3407
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 6808 and 6814 is 2