Greatest Common Factor of 244 and 7200
GCF(244, 7200) = 4, Greatest common factor of 244 and 7200 is 4. 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 244 and 7200. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 244 and 7200 by prime factorization method
We will first find the prime factorization of 244 and 7200.
Prime Factorization of 244 is 1, 2, 2, 61 and Prime Factorization of 7200 is 1, 2, 2, 2, 2, 2, 3, 3, 5, 5.
- Factorize\( (244) = \) \(1\times 2\times 2\times 61\)
- Factorize\( (7200) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 3\times 3\times 5\times 5\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(244, 7200) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 244 and 7200 by matching factors method
List of positive integers factors of 244 leaving a remainder zero is 1, 2, 4, 61, 122, 244
List of positive integers factors of 7200 leaving a remainder zero is 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 96, 100, 120, 144, 150, 160, 180, 200, 225, 240, 288, 300, 360, 400, 450, 480, 600, 720, 800, 900, 1200, 1440, 1800, 2400, 3600, 7200
As you can see, 4 is the greatest and common number that 244 and 7200 divides into.
So the greatest common factor 244 and 7200 is 4.
\(GCF(244, 7200) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
