Greatest Common Factor of 9 and 309
GCF(9, 309) = 3, Greatest common factor of 9 and 309 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 309. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 9 and 309 by prime factorization method
We will first find the prime factorization of 9 and 309.
Prime Factorization of 9 is 1, 3, 3 and Prime Factorization of 309 is 1, 3, 103.
- Factorize\( (9) = \) \(1\times 3\times 3\)
- Factorize\( (309) = \) \(1\times 3\times 103\)
Now we need to find any which are common for each number (1, 3) and multiply these numbers together.
\(GCF(9, 309) = 1\times 3 = 3\).
Greatest Common Factor of 9 and 309 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 309 leaving a remainder zero is 1, 3, 103, 309
As you can see, 3 is the greatest and common number that 9 and 309 divides into.
So the greatest common factor 9 and 309 is 3.
\(GCF(9, 309) = 3\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
