Greatest Common Factor of 120 and 8391
GCF(120, 8391) = 3, Greatest common factor of 120 and 8391 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 120 and 8391. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 120 and 8391 by prime factorization method
We will first find the prime factorization of 120 and 8391.
Prime Factorization of 120 is 1, 2, 2, 2, 3, 5 and Prime Factorization of 8391 is 1, 3, 2797.
- Factorize\( (120) = \) \(1\times 2\times 2\times 2\times 3\times 5\)
- Factorize\( (8391) = \) \(1\times 3\times 2797\)
Now we need to find any which are common for each number (1, 3) and multiply these numbers together.
\(GCF(120, 8391) = 1\times 3 = 3\).
Greatest Common Factor of 120 and 8391 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 8391 leaving a remainder zero is 1, 3, 2797, 8391
As you can see, 3 is the greatest and common number that 120 and 8391 divides into.
So the greatest common factor 120 and 8391 is 3.
\(GCF(120, 8391) = 3\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
