Greatest Common Factor of 1200 and 1926
GCF(1200, 1926) = 6, Greatest common factor of 1200 and 1926 is 6. 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 1200 and 1926. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 1200 and 1926 by prime factorization method
We will first find the prime factorization of 1200 and 1926.
Prime Factorization of 1200 is 1, 2, 2, 2, 2, 3, 5, 5 and Prime Factorization of 1926 is 1, 2, 3, 3, 107.
- Factorize\( (1200) = \) \(1\times 2\times 2\times 2\times 2\times 3\times 5\times 5\)
- Factorize\( (1926) = \) \(1\times 2\times 3\times 3\times 107\)
Now we need to find any which are common for each number (1, 2, 3) and multiply these numbers together.
\(GCF(1200, 1926) = 1\times 2\times 3 = 6\).
Greatest Common Factor of 1200 and 1926 by matching factors method
List of positive integers factors of 1200 leaving a remainder zero is 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200
List of positive integers factors of 1926 leaving a remainder zero is 1, 2, 3, 6, 9, 18, 107, 214, 321, 642, 963, 1926
As you can see, 6 is the greatest and common number that 1200 and 1926 divides into.
So the greatest common factor 1200 and 1926 is 6.
\(GCF(1200, 1926) = 6\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
