Greatest Common Factor of 172 and 2018
GCF(172, 2018) = 2, Greatest common factor of 172 and 2018 is 2. 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 172 and 2018. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 172 and 2018 by prime factorization method
We will first find the prime factorization of 172 and 2018.
Prime Factorization of 172 is 1, 2, 2, 43 and Prime Factorization of 2018 is 1, 2, 1009.
- Factorize\( (172) = \) \(1\times 2\times 2\times 43\)
- Factorize\( (2018) = \) \(1\times 2\times 1009\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(172, 2018) = 1\times 2 = 2\).
Greatest Common Factor of 172 and 2018 by matching factors method
List of positive integers factors of 172 leaving a remainder zero is 1, 2, 4, 43, 86, 172
List of positive integers factors of 2018 leaving a remainder zero is 1, 2, 1009, 2018
As you can see, 2 is the greatest and common number that 172 and 2018 divides into.
So the greatest common factor 172 and 2018 is 2.
\(GCF(172, 2018) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
