Greatest Common Factor of 9 and 2301
GCF(9, 2301) = 3, Greatest common factor of 9 and 2301 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 2301. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 9 and 2301 by prime factorization method
We will first find the prime factorization of 9 and 2301.
Prime Factorization of 9 is 1, 3, 3 and Prime Factorization of 2301 is 1, 3, 13, 59.
- Factorize\( (9) = \) \(1\times 3\times 3\)
- Factorize\( (2301) = \) \(1\times 3\times 13\times 59\)
Now we need to find any which are common for each number (1, 3) and multiply these numbers together.
\(GCF(9, 2301) = 1\times 3 = 3\).
Greatest Common Factor of 9 and 2301 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 2301 leaving a remainder zero is 1, 3, 13, 39, 59, 177, 767, 2301
As you can see, 3 is the greatest and common number that 9 and 2301 divides into.
So the greatest common factor 9 and 2301 is 3.
\(GCF(9, 2301) = 3\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
