Greatest Common Factor of 76 and 7758
GCF(76, 7758) = 2, Greatest common factor of 76 and 7758 is 2. 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 76 and 7758. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 76 and 7758 by prime factorization method
We will first find the prime factorization of 76 and 7758.
Prime Factorization of 76 is 1, 2, 2, 19 and Prime Factorization of 7758 is 1, 2, 3, 3, 431.
- Factorize\( (76) = \) \(1\times 2\times 2\times 19\)
- Factorize\( (7758) = \) \(1\times 2\times 3\times 3\times 431\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(76, 7758) = 1\times 2 = 2\).
Greatest Common Factor of 76 and 7758 by matching factors method
List of positive integers factors of 76 leaving a remainder zero is 1, 2, 4, 19, 38, 76
List of positive integers factors of 7758 leaving a remainder zero is 1, 2, 3, 6, 9, 18, 431, 862, 1293, 2586, 3879, 7758
As you can see, 2 is the greatest and common number that 76 and 7758 divides into.
So the greatest common factor 76 and 7758 is 2.
\(GCF(76, 7758) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
