Greatest Common Factor of 5 and 6187

GCF(5, 6187) = 1, Greatest common factor of 5 and 6187 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 5 and 6187. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.

Greatest Common Factor of 5 and 6187 by prime factorization method

We will first find the prime factorization of 5 and 6187.
Prime Factorization of 5 is 1, 5 and Prime Factorization of 6187 is 1, 23, 269.

  • Factorize\( (5) = \) \(1\times 5\)
  • Factorize\( (6187) = \) \(1\times 23\times 269\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(5, 6187) = 1\times 1 = 1\).

Greatest Common Factor of 5 and 6187 by matching factors method

List of positive integers factors of 5 leaving a remainder zero is 1, 5
List of positive integers factors of 6187 leaving a remainder zero is 1, 23, 269, 6187
As you can see, 1 is the greatest and common number that 5 and 6187 divides into.
So the greatest common factor 5 and 6187 is 1.
\(GCF(5, 6187) = 1\).

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