Greatest Common Factor of 88 and 9561

GCF(88, 9561) = 1, Greatest common factor of 88 and 9561 is 1. 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 9561. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.

Greatest Common Factor of 88 and 9561 by prime factorization method

We will first find the prime factorization of 88 and 9561.
Prime Factorization of 88 is 1, 2, 2, 2, 11 and Prime Factorization of 9561 is 1, 3, 3187.

  • Factorize\( (88) = \) \(1\times 2\times 2\times 2\times 11\)
  • Factorize\( (9561) = \) \(1\times 3\times 3187\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(88, 9561) = 1\times 1 = 1\).

Greatest Common Factor of 88 and 9561 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 9561 leaving a remainder zero is 1, 3, 3187, 9561
As you can see, 1 is the greatest and common number that 88 and 9561 divides into.
So the greatest common factor 88 and 9561 is 1.
\(GCF(88, 9561) = 1\).

If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
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