Greatest Common Factor of 84 and 2203
GCF(84, 2203) = 1, Greatest common factor of 84 and 2203 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 84 and 2203. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 84 and 2203 by prime factorization method
We will first find the prime factorization of 84 and 2203.
Prime Factorization of 84 is 1, 2, 2, 3, 7 and Prime Factorization of 2203 is 1, 2203.
- Factorize\( (84) = \) \(1\times 2\times 2\times 3\times 7\)
- Factorize\( (2203) = \) \(1\times 2203\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(84, 2203) = 1\times 1 = 1\).
Greatest Common Factor of 84 and 2203 by matching factors method
List of positive integers factors of 84 leaving a remainder zero is 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
List of positive integers factors of 2203 leaving a remainder zero is 1, 2203
As you can see, 1 is the greatest and common number that 84 and 2203 divides into.
So the greatest common factor 84 and 2203 is 1.
\(GCF(84, 2203) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
