Greatest Common Factor of 88 and 9650
GCF(88, 9650) = 2, Greatest common factor of 88 and 9650 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 88 and 9650. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 88 and 9650 by prime factorization method
We will first find the prime factorization of 88 and 9650.
Prime Factorization of 88 is 1, 2, 2, 2, 11 and Prime Factorization of 9650 is 1, 2, 5, 5, 193.
- Factorize\( (88) = \) \(1\times 2\times 2\times 2\times 11\)
- Factorize\( (9650) = \) \(1\times 2\times 5\times 5\times 193\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(88, 9650) = 1\times 2 = 2\).
Greatest Common Factor of 88 and 9650 by matching factors method
List of positive integers factors of 88 leaving a remainder zero is 1, 2, 4, 8, 11, 22, 44, 88
List of positive integers factors of 9650 leaving a remainder zero is 1, 2, 5, 10, 25, 50, 193, 386, 965, 1930, 4825, 9650
As you can see, 2 is the greatest and common number that 88 and 9650 divides into.
So the greatest common factor 88 and 9650 is 2.
\(GCF(88, 9650) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
