Greatest Common Factor of 52 and 1719
GCF(52, 1719) = 1, Greatest common factor of 52 and 1719 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 52 and 1719. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 52 and 1719 by prime factorization method
We will first find the prime factorization of 52 and 1719.
Prime Factorization of 52 is 1, 2, 2, 13 and Prime Factorization of 1719 is 1, 3, 3, 191.
- Factorize\( (52) = \) \(1\times 2\times 2\times 13\)
- Factorize\( (1719) = \) \(1\times 3\times 3\times 191\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(52, 1719) = 1\times 1 = 1\).
Greatest Common Factor of 52 and 1719 by matching factors method
List of positive integers factors of 52 leaving a remainder zero is 1, 2, 4, 13, 26, 52
List of positive integers factors of 1719 leaving a remainder zero is 1, 3, 9, 191, 573, 1719
As you can see, 1 is the greatest and common number that 52 and 1719 divides into.
So the greatest common factor 52 and 1719 is 1.
\(GCF(52, 1719) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
