Greatest Common Factor of 120 and 9194
GCF(120, 9194) = 2, Greatest common factor of 120 and 9194 is 2. 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 9194. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 120 and 9194 by prime factorization method
We will first find the prime factorization of 120 and 9194.
Prime Factorization of 120 is 1, 2, 2, 2, 3, 5 and Prime Factorization of 9194 is 1, 2, 4597.
- Factorize\( (120) = \) \(1\times 2\times 2\times 2\times 3\times 5\)
- Factorize\( (9194) = \) \(1\times 2\times 4597\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(120, 9194) = 1\times 2 = 2\).
Greatest Common Factor of 120 and 9194 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 9194 leaving a remainder zero is 1, 2, 4597, 9194
As you can see, 2 is the greatest and common number that 120 and 9194 divides into.
So the greatest common factor 120 and 9194 is 2.
\(GCF(120, 9194) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
