Greatest Common Factor of 120 and 9413
GCF(120, 9413) = 1, Greatest common factor of 120 and 9413 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 120 and 9413. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 120 and 9413 by prime factorization method
We will first find the prime factorization of 120 and 9413.
Prime Factorization of 120 is 1, 2, 2, 2, 3, 5 and Prime Factorization of 9413 is 1, 9413.
- Factorize\( (120) = \) \(1\times 2\times 2\times 2\times 3\times 5\)
- Factorize\( (9413) = \) \(1\times 9413\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(120, 9413) = 1\times 1 = 1\).
Greatest Common Factor of 120 and 9413 by matching factors method
List of positive integers factors of 120 leaving a remainder zero is 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
List of positive integers factors of 9413 leaving a remainder zero is 1, 9413
As you can see, 1 is the greatest and common number that 120 and 9413 divides into.
So the greatest common factor 120 and 9413 is 1.
\(GCF(120, 9413) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
