Greatest Common Factor of 240 and 1373

GCF(240, 1373) = 1, Greatest common factor of 240 and 1373 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 240 and 1373. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.

Greatest Common Factor of 240 and 1373 by prime factorization method

We will first find the prime factorization of 240 and 1373.
Prime Factorization of 240 is 1, 2, 2, 2, 2, 3, 5 and Prime Factorization of 1373 is 1, 1373.

  • Factorize\( (240) = \) \(1\times 2\times 2\times 2\times 2\times 3\times 5\)
  • Factorize\( (1373) = \) \(1\times 1373\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(240, 1373) = 1\times 1 = 1\).

Greatest Common Factor of 240 and 1373 by matching factors method

List of positive integers factors of 240 leaving a remainder zero is 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
List of positive integers factors of 1373 leaving a remainder zero is 1, 1373
As you can see, 1 is the greatest and common number that 240 and 1373 divides into.
So the greatest common factor 240 and 1373 is 1.
\(GCF(240, 1373) = 1\).

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