Greatest Common Factor of 9 and 6906
GCF(9, 6906) = 3, Greatest common factor of 9 and 6906 is 3. Greatest Common Factor or Greatest Common Divisor of two numbers is the largest integer by which both the numbers can be divided. There are two different methods to calculate Greatest Common Factor of 9 and 6906. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 9 and 6906 by prime factorization method
We will first find the prime factorization of 9 and 6906.
Prime Factorization of 9 is 1, 3, 3 and Prime Factorization of 6906 is 1, 2, 3, 1151.
- Factorize\( (9) = \) \(1\times 3\times 3\)
- Factorize\( (6906) = \) \(1\times 2\times 3\times 1151\)
Now we need to find any which are common for each number (1, 3) and multiply these numbers together.
\(GCF(9, 6906) = 1\times 3 = 3\).
Greatest Common Factor of 9 and 6906 by matching factors method
List of positive integers factors of 9 leaving a remainder zero is 1, 3, 9
List of positive integers factors of 6906 leaving a remainder zero is 1, 2, 3, 6, 1151, 2302, 3453, 6906
As you can see, 3 is the greatest and common number that 9 and 6906 divides into.
So the greatest common factor 9 and 6906 is 3.
\(GCF(9, 6906) = 3\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
