Greatest Common Factor of 964 and 187

GCF(964, 187) = 1, Greatest common factor of 964 and 187 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 964 and 187. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.

Greatest Common Factor of 964 and 187 by prime factorization method

We will first find the prime factorization of 964 and 187.
Prime Factorization of 964 is 1, 2, 2, 241 and Prime Factorization of 187 is 1, 11, 17.

  • Factorize\( (964) = \) \(1\times 2\times 2\times 241\)
  • Factorize\( (187) = \) \(1\times 11\times 17\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(964, 187) = 1\times 1 = 1\).

Greatest Common Factor of 964 and 187 by matching factors method

List of positive integers factors of 964 leaving a remainder zero is 1, 2, 4, 241, 482, 964
List of positive integers factors of 187 leaving a remainder zero is 1, 11, 17, 187
As you can see, 1 is the greatest and common number that 964 and 187 divides into.
So the greatest common factor 964 and 187 is 1.
\(GCF(964, 187) = 1\).

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