Greatest Common Factor of 200 and 4695
GCF(200, 4695) = 5, Greatest common factor of 200 and 4695 is 5. 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 200 and 4695. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 200 and 4695 by prime factorization method
We will first find the prime factorization of 200 and 4695.
Prime Factorization of 200 is 1, 2, 2, 2, 5, 5 and Prime Factorization of 4695 is 1, 3, 5, 313.
- Factorize\( (200) = \) \(1\times 2\times 2\times 2\times 5\times 5\)
- Factorize\( (4695) = \) \(1\times 3\times 5\times 313\)
Now we need to find any which are common for each number (1, 5) and multiply these numbers together.
\(GCF(200, 4695) = 1\times 5 = 5\).
Greatest Common Factor of 200 and 4695 by matching factors method
List of positive integers factors of 200 leaving a remainder zero is 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
List of positive integers factors of 4695 leaving a remainder zero is 1, 3, 5, 15, 313, 939, 1565, 4695
As you can see, 5 is the greatest and common number that 200 and 4695 divides into.
So the greatest common factor 200 and 4695 is 5.
\(GCF(200, 4695) = 5\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
