Greatest Common Factor of 24 and 4777

GCF(24, 4777) = 1, Greatest common factor of 24 and 4777 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 24 and 4777. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.

Greatest Common Factor of 24 and 4777 by prime factorization method

We will first find the prime factorization of 24 and 4777.
Prime Factorization of 24 is 1, 2, 2, 2, 3 and Prime Factorization of 4777 is 1, 17, 281.

  • Factorize\( (24) = \) \(1\times 2\times 2\times 2\times 3\)
  • Factorize\( (4777) = \) \(1\times 17\times 281\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(24, 4777) = 1\times 1 = 1\).

Greatest Common Factor of 24 and 4777 by matching factors method

List of positive integers factors of 24 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 12, 24
List of positive integers factors of 4777 leaving a remainder zero is 1, 17, 281, 4777
As you can see, 1 is the greatest and common number that 24 and 4777 divides into.
So the greatest common factor 24 and 4777 is 1.
\(GCF(24, 4777) = 1\).

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