Greatest Common Factor of 68 and 995

GCF(68, 995) = 1, Greatest common factor of 68 and 995 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 68 and 995. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.

Greatest Common Factor of 68 and 995 by prime factorization method

We will first find the prime factorization of 68 and 995.
Prime Factorization of 68 is 1, 2, 2, 17 and Prime Factorization of 995 is 1, 5, 199.

  • Factorize\( (68) = \) \(1\times 2\times 2\times 17\)
  • Factorize\( (995) = \) \(1\times 5\times 199\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(68, 995) = 1\times 1 = 1\).

Greatest Common Factor of 68 and 995 by matching factors method

List of positive integers factors of 68 leaving a remainder zero is 1, 2, 4, 17, 34, 68
List of positive integers factors of 995 leaving a remainder zero is 1, 5, 199, 995
As you can see, 1 is the greatest and common number that 68 and 995 divides into.
So the greatest common factor 68 and 995 is 1.
\(GCF(68, 995) = 1\).

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