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The gcf of 20 and 88 is the largest positive integer that divides the numbers 20 and 88 without a remainder. Spelled out, it is the greatest common factor of 20 and 88. Here you can find the result for 20 and 88, along with a total of three methods for computing it.
What is the Greatest Common Factor of 20 and 88?
If you just want to know what is the greatest common factor of 20 and 88, it is 4. Usually, this is written as
The gcf of 20 and 88 can be obtained like this:
- The factors of 20 are 20, 10, 5, 4, 2, 1.
- The factors of 88 are 88, 44, 22, 11, 8, 4, 2, 1.
- The common factors of 20 and 88 are 4, 2, 1, intersecting the two sets above.
- In the intersection factors of 20 ∩ factors of 88 the greatest element is 4.
- Therefore, the greatest common factor of 20 and 88 is 4.
Taking the above into account you also know how to find all the common factors of 20 and 88, not just the greatest. In the next section we show you how to calculate the gcf of twenty and eighty-eight by means of two more methods.
How to find the GCF of 20 and 88
The greatest common factor of 20 and 88 can be computed by using the least common multiple aka lcm of 20 and 88. This is the easiest approach:
Alternatively, the gcf of 20 and 88 can be found using the prime factorization of 20 and 88:
- The prime factorization of 20 is: 2 x 2 x 5
- The prime factorization of 88 is: 2 x 2 x 2 x 11
- The prime factors and multiplicities 20 and 88 have in common are: 2 x 2
- 2 x 2 is the gcf of 20 and 88
- gcf(20,88) = 4
In any case, the easiest way to compute the result for two numbers like 20 and 88 is by using our calculator above. Note that it can also compute the gcf of more than two numbers, separated by a comma. For example, enter 20,88. The calculation is conducted automatically.
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In the next paragraph we explain how the mathematical concept can be employed.
Keep reading – it’s really interesting.
Use of Greatest Common Factor of 20 and 88
What is the greatest common factor of 20 and 88 used for? Answer: It is helpful for reducing fractions like 20 / 88. Just divide the nominator as well as the denominator by the gcf (20,88) to reduce the fraction to lowest terms.
Next, we shed a light on the mathematical properties.
Properties of GCF of 20 and 88
The most important properties of the gcf(20,88) are:
- Commutative property: gcf(20,88) = gcf(88,20)
- Associative property: gcf(20,88,n) = gcf(gcf(88,20),n)
The associativity is particularly useful to get the gcf of three or more numbers; our calculator makes use of it.
Note that you can find the greatest common factor of many integer pairs including twenty / eighty-eight by using the the search form in the sidebar of this page.
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