Greatest Common Factor of 13 and 1738
GCF(13, 1738) = 1, Greatest common factor of 13 and 1738 is 1. 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 13 and 1738. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 13 and 1738 by prime factorization method
We will first find the prime factorization of 13 and 1738.
Prime Factorization of 13 is 1, 13 and Prime Factorization of 1738 is 1, 2, 11, 79.
- Factorize\( (13) = \) \(1\times 13\)
- Factorize\( (1738) = \) \(1\times 2\times 11\times 79\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(13, 1738) = 1\times 1 = 1\).
Greatest Common Factor of 13 and 1738 by matching factors method
List of positive integers factors of 13 leaving a remainder zero is 1, 13
List of positive integers factors of 1738 leaving a remainder zero is 1, 2, 11, 22, 79, 158, 869, 1738
As you can see, 1 is the greatest and common number that 13 and 1738 divides into.
So the greatest common factor 13 and 1738 is 1.
\(GCF(13, 1738) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
