Greatest Common Factor of 5 and 9
GCF(5, 9) = 1, Greatest common factor of 5 and 9 is 1. 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 5 and 9. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 5 and 9 by prime factorization method
We will first find the prime factorization of 5 and 9.
Prime Factorization of 5 is 1, 5 and Prime Factorization of 9 is 1, 3, 3.
- Factorize\( (5) = \) \(1\times 5\)
- Factorize\( (9) = \) \(1\times 3\times 3\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(5, 9) = 1\times 1 = 1\).
Greatest Common Factor of 5 and 9 by matching factors method
List of positive integers factors of 5 leaving a remainder zero is 1, 5
List of positive integers factors of 9 leaving a remainder zero is 1, 3, 9
As you can see, 1 is the greatest and common number that 5 and 9 divides into.
So the greatest common factor 5 and 9 is 1.
\(GCF(5, 9) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
