Greatest Common Factor of 9 and 381
GCF(9, 381) = 3, Greatest common factor of 9 and 381 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 381. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 9 and 381 by prime factorization method
We will first find the prime factorization of 9 and 381.
Prime Factorization of 9 is 1, 3, 3 and Prime Factorization of 381 is 1, 3, 127.
- Factorize\( (9) = \) \(1\times 3\times 3\)
- Factorize\( (381) = \) \(1\times 3\times 127\)
Now we need to find any which are common for each number (1, 3) and multiply these numbers together.
\(GCF(9, 381) = 1\times 3 = 3\).
Greatest Common Factor of 9 and 381 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 381 leaving a remainder zero is 1, 3, 127, 381
As you can see, 3 is the greatest and common number that 9 and 381 divides into.
So the greatest common factor 9 and 381 is 3.
\(GCF(9, 381) = 3\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
