Greatest Common Factor of 212 and 211
GCF(212, 211) = 1, Greatest common factor of 212 and 211 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 212 and 211. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 212 and 211 by prime factorization method
We will first find the prime factorization of 212 and 211.
Prime Factorization of 212 is 1, 2, 2, 53 and Prime Factorization of 211 is 1, 211.
- Factorize\( (212) = \) \(1\times 2\times 2\times 53\)
- Factorize\( (211) = \) \(1\times 211\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(212, 211) = 1\times 1 = 1\).
Greatest Common Factor of 212 and 211 by matching factors method
List of positive integers factors of 212 leaving a remainder zero is 1, 2, 4, 53, 106, 212
List of positive integers factors of 211 leaving a remainder zero is 1, 211
As you can see, 1 is the greatest and common number that 212 and 211 divides into.
So the greatest common factor 212 and 211 is 1.
\(GCF(212, 211) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
