Greatest Common Factor of 56 and 8797

GCF(56, 8797) = 1, Greatest common factor of 56 and 8797 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 56 and 8797. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.

Greatest Common Factor of 56 and 8797 by prime factorization method

We will first find the prime factorization of 56 and 8797.
Prime Factorization of 56 is 1, 2, 2, 2, 7 and Prime Factorization of 8797 is 1, 19, 463.

  • Factorize\( (56) = \) \(1\times 2\times 2\times 2\times 7\)
  • Factorize\( (8797) = \) \(1\times 19\times 463\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(56, 8797) = 1\times 1 = 1\).

Greatest Common Factor of 56 and 8797 by matching factors method

List of positive integers factors of 56 leaving a remainder zero is 1, 2, 4, 7, 8, 14, 28, 56
List of positive integers factors of 8797 leaving a remainder zero is 1, 19, 463, 8797
As you can see, 1 is the greatest and common number that 56 and 8797 divides into.
So the greatest common factor 56 and 8797 is 1.
\(GCF(56, 8797) = 1\).

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