Greatest Common Factor of 17 and 852
GCF(17, 852) = 1, Greatest common factor of 17 and 852 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 17 and 852. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 17 and 852 by prime factorization method
We will first find the prime factorization of 17 and 852.
Prime Factorization of 17 is 1, 17 and Prime Factorization of 852 is 1, 2, 2, 3, 71.
- Factorize\( (17) = \) \(1\times 17\)
- Factorize\( (852) = \) \(1\times 2\times 2\times 3\times 71\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(17, 852) = 1\times 1 = 1\).
Greatest Common Factor of 17 and 852 by matching factors method
List of positive integers factors of 17 leaving a remainder zero is 1, 17
List of positive integers factors of 852 leaving a remainder zero is 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
As you can see, 1 is the greatest and common number that 17 and 852 divides into.
So the greatest common factor 17 and 852 is 1.
\(GCF(17, 852) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
