Greatest Common Factor of 20 and 167
GCF(20, 167) = 1, Greatest common factor of 20 and 167 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 20 and 167. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 20 and 167 by prime factorization method
We will first find the prime factorization of 20 and 167.
Prime Factorization of 20 is 1, 2, 2, 5 and Prime Factorization of 167 is 1, 167.
- Factorize\( (20) = \) \(1\times 2\times 2\times 5\)
- Factorize\( (167) = \) \(1\times 167\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(20, 167) = 1\times 1 = 1\).
Greatest Common Factor of 20 and 167 by matching factors method
List of positive integers factors of 20 leaving a remainder zero is 1, 2, 4, 5, 10, 20
List of positive integers factors of 167 leaving a remainder zero is 1, 167
As you can see, 1 is the greatest and common number that 20 and 167 divides into.
So the greatest common factor 20 and 167 is 1.
\(GCF(20, 167) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
