Greatest Common Factor of 84 and 7784
GCF(84, 7784) = 28, Greatest common factor of 84 and 7784 is 28. 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 7784. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 84 and 7784 by prime factorization method
We will first find the prime factorization of 84 and 7784.
Prime Factorization of 84 is 1, 2, 2, 3, 7 and Prime Factorization of 7784 is 1, 2, 2, 2, 7, 139.
- Factorize\( (84) = \) \(1\times 2\times 2\times 3\times 7\)
- Factorize\( (7784) = \) \(1\times 2\times 2\times 2\times 7\times 139\)
Now we need to find any which are common for each number (1, 2, 2, 7) and multiply these numbers together.
\(GCF(84, 7784) = 1\times 2\times 2\times 7 = 28\).
Greatest Common Factor of 84 and 7784 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 7784 leaving a remainder zero is 1, 2, 4, 7, 8, 14, 28, 56, 139, 278, 556, 973, 1112, 1946, 3892, 7784
As you can see, 28 is the greatest and common number that 84 and 7784 divides into.
So the greatest common factor 84 and 7784 is 28.
\(GCF(84, 7784) = 28\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
