Greatest Common Factor of 84 and 3784
GCF(84, 3784) = 4, Greatest common factor of 84 and 3784 is 4. 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 3784. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 84 and 3784 by prime factorization method
We will first find the prime factorization of 84 and 3784.
Prime Factorization of 84 is 1, 2, 2, 3, 7 and Prime Factorization of 3784 is 1, 2, 2, 2, 11, 43.
- Factorize\( (84) = \) \(1\times 2\times 2\times 3\times 7\)
- Factorize\( (3784) = \) \(1\times 2\times 2\times 2\times 11\times 43\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(84, 3784) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 84 and 3784 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 3784 leaving a remainder zero is 1, 2, 4, 8, 11, 22, 43, 44, 86, 88, 172, 344, 473, 946, 1892, 3784
As you can see, 4 is the greatest and common number that 84 and 3784 divides into.
So the greatest common factor 84 and 3784 is 4.
\(GCF(84, 3784) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
