Greatest Common Factor of 84 and 4647
GCF(84, 4647) = 3, Greatest common factor of 84 and 4647 is 3. 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 4647. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 84 and 4647 by prime factorization method
We will first find the prime factorization of 84 and 4647.
Prime Factorization of 84 is 1, 2, 2, 3, 7 and Prime Factorization of 4647 is 1, 3, 1549.
- Factorize\( (84) = \) \(1\times 2\times 2\times 3\times 7\)
- Factorize\( (4647) = \) \(1\times 3\times 1549\)
Now we need to find any which are common for each number (1, 3) and multiply these numbers together.
\(GCF(84, 4647) = 1\times 3 = 3\).
Greatest Common Factor of 84 and 4647 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 4647 leaving a remainder zero is 1, 3, 1549, 4647
As you can see, 3 is the greatest and common number that 84 and 4647 divides into.
So the greatest common factor 84 and 4647 is 3.
\(GCF(84, 4647) = 3\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
