Greatest Common Factor of 124 and 13073

GCF(124, 13073) = 1, Greatest common factor of 124 and 13073 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 124 and 13073. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.

Greatest Common Factor of 124 and 13073 by prime factorization method

We will first find the prime factorization of 124 and 13073.
Prime Factorization of 124 is 1, 2, 2, 31 and Prime Factorization of 13073 is 1, 17, 769.

  • Factorize\( (124) = \) \(1\times 2\times 2\times 31\)
  • Factorize\( (13073) = \) \(1\times 17\times 769\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(124, 13073) = 1\times 1 = 1\).

Greatest Common Factor of 124 and 13073 by matching factors method

List of positive integers factors of 124 leaving a remainder zero is 1, 2, 4, 31, 62, 124
List of positive integers factors of 13073 leaving a remainder zero is 1, 17, 769, 13073
As you can see, 1 is the greatest and common number that 124 and 13073 divides into.
So the greatest common factor 124 and 13073 is 1.
\(GCF(124, 13073) = 1\).

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