Greatest Common Factor of 88 and 11869
GCF(88, 11869) = 11, Greatest common factor of 88 and 11869 is 11. 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 11869. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 88 and 11869 by prime factorization method
We will first find the prime factorization of 88 and 11869.
Prime Factorization of 88 is 1, 2, 2, 2, 11 and Prime Factorization of 11869 is 1, 11, 13, 83.
- Factorize\( (88) = \) \(1\times 2\times 2\times 2\times 11\)
- Factorize\( (11869) = \) \(1\times 11\times 13\times 83\)
Now we need to find any which are common for each number (1, 11) and multiply these numbers together.
\(GCF(88, 11869) = 1\times 11 = 11\).
Greatest Common Factor of 88 and 11869 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 11869 leaving a remainder zero is 1, 11, 13, 83, 143, 913, 1079, 11869
As you can see, 11 is the greatest and common number that 88 and 11869 divides into.
So the greatest common factor 88 and 11869 is 11.
\(GCF(88, 11869) = 11\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
