Greatest Common Factor of 9 and 2574
GCF(9, 2574) = 9, Greatest common factor of 9 and 2574 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 2574. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 9 and 2574 by prime factorization method
We will first find the prime factorization of 9 and 2574.
Prime Factorization of 9 is 1, 3, 3 and Prime Factorization of 2574 is 1, 2, 3, 3, 11, 13.
- Factorize\( (9) = \) \(1\times 3\times 3\)
- Factorize\( (2574) = \) \(1\times 2\times 3\times 3\times 11\times 13\)
Now we need to find any which are common for each number (1, 3, 3) and multiply these numbers together.
\(GCF(9, 2574) = 1\times 3\times 3 = 9\).
Greatest Common Factor of 9 and 2574 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 2574 leaving a remainder zero is 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 33, 39, 66, 78, 99, 117, 143, 198, 234, 286, 429, 858, 1287, 2574
As you can see, 9 is the greatest and common number that 9 and 2574 divides into.
So the greatest common factor 9 and 2574 is 9.
\(GCF(9, 2574) = 9\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
