Greatest Common Factor of 9 and 1872
GCF(9, 1872) = 9, Greatest common factor of 9 and 1872 is 9. 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 9 and 1872. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 9 and 1872 by prime factorization method
We will first find the prime factorization of 9 and 1872.
Prime Factorization of 9 is 1, 3, 3 and Prime Factorization of 1872 is 1, 2, 2, 2, 2, 3, 3, 13.
- Factorize\( (9) = \) \(1\times 3\times 3\)
- Factorize\( (1872) = \) \(1\times 2\times 2\times 2\times 2\times 3\times 3\times 13\)
Now we need to find any which are common for each number (1, 3, 3) and multiply these numbers together.
\(GCF(9, 1872) = 1\times 3\times 3 = 9\).
Greatest Common Factor of 9 and 1872 by matching factors method
List of positive integers factors of 9 leaving a remainder zero is 1, 3, 9
List of positive integers factors of 1872 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872
As you can see, 9 is the greatest and common number that 9 and 1872 divides into.
So the greatest common factor 9 and 1872 is 9.
\(GCF(9, 1872) = 9\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
