Greatest Common Factor of 84 and 5953
GCF(84, 5953) = 1, Greatest common factor of 84 and 5953 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 5953. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 84 and 5953 by prime factorization method
We will first find the prime factorization of 84 and 5953.
Prime Factorization of 84 is 1, 2, 2, 3, 7 and Prime Factorization of 5953 is 1, 5953.
- Factorize\( (84) = \) \(1\times 2\times 2\times 3\times 7\)
- Factorize\( (5953) = \) \(1\times 5953\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(84, 5953) = 1\times 1 = 1\).
Greatest Common Factor of 84 and 5953 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 5953 leaving a remainder zero is 1, 5953
As you can see, 1 is the greatest and common number that 84 and 5953 divides into.
So the greatest common factor 84 and 5953 is 1.
\(GCF(84, 5953) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
