Greatest Common Factor of 64 and 6883

GCF(64, 6883) = 1, Greatest common factor of 64 and 6883 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 64 and 6883. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.

Greatest Common Factor of 64 and 6883 by prime factorization method

We will first find the prime factorization of 64 and 6883.
Prime Factorization of 64 is 1, 2, 2, 2, 2, 2, 2 and Prime Factorization of 6883 is 1, 6883.

  • Factorize\( (64) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 2\)
  • Factorize\( (6883) = \) \(1\times 6883\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(64, 6883) = 1\times 1 = 1\).

Greatest Common Factor of 64 and 6883 by matching factors method

List of positive integers factors of 64 leaving a remainder zero is 1, 2, 4, 8, 16, 32, 64
List of positive integers factors of 6883 leaving a remainder zero is 1, 6883
As you can see, 1 is the greatest and common number that 64 and 6883 divides into.
So the greatest common factor 64 and 6883 is 1.
\(GCF(64, 6883) = 1\).

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