Greatest Common Factor of 120 and 7107
GCF(120, 7107) = 3, Greatest common factor of 120 and 7107 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 7107. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 120 and 7107 by prime factorization method
We will first find the prime factorization of 120 and 7107.
Prime Factorization of 120 is 1, 2, 2, 2, 3, 5 and Prime Factorization of 7107 is 1, 3, 23, 103.
- Factorize\( (120) = \) \(1\times 2\times 2\times 2\times 3\times 5\)
- Factorize\( (7107) = \) \(1\times 3\times 23\times 103\)
Now we need to find any which are common for each number (1, 3) and multiply these numbers together.
\(GCF(120, 7107) = 1\times 3 = 3\).
Greatest Common Factor of 120 and 7107 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 7107 leaving a remainder zero is 1, 3, 23, 69, 103, 309, 2369, 7107
As you can see, 3 is the greatest and common number that 120 and 7107 divides into.
So the greatest common factor 120 and 7107 is 3.
\(GCF(120, 7107) = 3\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
