The gcf of 20 and 83 is the largest positive integer that divides the numbers 20 and 83 without a remainder. Spelled out, it is the greatest common factor of 20 and 83. Here you can find the gcf of 20 and 83, along with a total of three methods for computing it.
What is the GCF of 20 and 83
If you just want to know what is the greatest common factor of 20 and 83, it is 1. Usually, this is written as
The gcf of 20 and 83 can be obtained like this:
- The factors of 20 are 20, 10, 5, 4, 2, 1.
- The factors of 83 are 83, 1.
- The common factors of 20 and 83 are 1, intersecting the two sets above.
- In the intersection factors of 20 ∩ factors of 83 the greatest element is 1.
- Therefore, the greatest common factor of 20 and 83 is 1.
Taking the above into account you also know how to find all the common factors of 20 and 83, not just the greatest. In the next section we show you how to calculate the gcf of twenty and eighty-three by means of two more methods.
How to find the GCF of 20 and 83
The greatest common factor of 20 and 83 can be computed by using the least common multiple aka lcm of 20 and 83. This is the easiest approach:
Alternatively, the gcf of 20 and 83 can be found using the prime factorization of 20 and 83:
- The prime factorization of 20 is: 2 x 2 x 5
- The prime factorization of 83 is: 83
- The prime factors and multiplicities 20 and 83 have in common are: 1
- 1 is the gcf of 20 and 83
- gcf(20,83) = 1
In any case, the easiest way to compute the gcf of two numbers like 20 and 83 is by using our calculator below. Note that it can also compute the gcf of more than two numbers, separated by a comma. For example, enter 20,83. The calculation is conducted automatically.
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Use of GCF of 20 and 83
What is the greatest common factor of 20 and 83 used for? Answer: It is helpful for reducing fractions like 20 / 83. Just divide the nominator as well as the denominator by the gcf (20,83) to reduce the fraction to lowest terms.
Properties of GCF of 20 and 83
The most important properties of the gcf(20,83) are:
- Commutative property: gcf(20,83) = gcf(83,20)
- Associative property: gcf(20,83,n) = gcf(gcf(83,20),n)
The associativity is particularly useful to get the gcf of three or more numbers; our calculator makes use of it.
To sum up, the gcf of 20 and 83 is 1. In common notation: gcf (20,83) = 1.
If you have been searching for gcf 20 and 83 or gcf 20 83 then you have come to the correct page, too. The same is the true if you typed gcf for 20 and 83 in your favorite search engine.
Note that you can find the greatest common factor of many integer pairs including twenty / eighty-three by using the the search form in the sidebar of this page.
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