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 6798, 6806 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6798 and 6806 is 2.
GCF(6798,6806) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6798
2 | 6798 |
3 | 3399 |
11 | 1133 |
103 | 103 |
1 |
Prime factors of 6798 are 2,3,11,103. Prime factorization of 6798 in exponential form is:
6798 = 21×31×111×1031
Prime Factorization of 6806
2 | 6806 |
41 | 3403 |
83 | 83 |
1 |
Prime factors of 6806 are 2,41,83. Prime factorization of 6806 in exponential form is:
6806 = 21×411×831
∴ So by taking common prime factors GCF of 6798 and 6806 is 2
Factors of 6798
List of positive integer factors of 6798 that divides 6798 without a remainder.
1,2,3,6,11,22,33,66,103,206,309,618,1133,2266,3399,6798
Factors of 6806
List of positive integer factors of 6806 that divides 6806 without a remainder.
1,2,41,82,83,166,3403,6806
Greatest Common Factor
We found the factors and prime factorization of 6798 and 6806. The biggest common factor number is the GCF number.
So the greatest common factor 6798 and 6806 is 2.
Also check out the Least Common Multiple of 6798 and 6806
(i) The GCF of 6798 and 6806 is associative
GCF of 6798 and 6806 = GCF of 6806 and 6798
1. What is the GCF of 6798 and 6806?
Answer: GCF of 6798 and 6806 is 2.
2. What are the Factors of 6798?
Answer: Factors of 6798 are 1, 2, 3, 6, 11, 22, 33, 66, 103, 206, 309, 618, 1133, 2266, 3399, 6798. There are 16 integers that are factors of 6798. The greatest factor of 6798 is 6798.
3. What are the Factors of 6806?
Answer: Factors of 6806 are 1, 2, 41, 82, 83, 166, 3403, 6806. There are 8 integers that are factors of 6806. The greatest factor of 6806 is 6806.
4. How to Find the GCF of 6798 and 6806?
Answer:
Greatest Common Factor of 6798 and 6806 = 2
Step 1: Find the prime factorization of 6798
6798 = 2 x 3 x 11 x 103
Step 2: Find the prime factorization of 6806
6806 = 2 x 41 x 83
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 6798 and 6806 is 2