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The gcf of 59 and 28 is the largest positive integer that divides the numbers 59 and 28 without a remainder. Spelled out, it is the greatest common factor of 59 and 28. Here you can find the gcf of 59 and 28, along with a total of three methods for computing it.
What is the GCF of 59 and 28
If you just want to know what is the greatest common factor of 59 and 28, it is 1. Usually, this is written as
The gcf of 59 and 28 can be obtained like this:
- The factors of 59 are 59, 1.
- The factors of 28 are 28, 14, 7, 4, 2, 1.
- The common factors of 59 and 28 are 1, intersecting the two sets above.
- In the intersection factors of 59 ∩ factors of 28 the greatest element is 1.
- Therefore, the greatest common factor of 59 and 28 is 1.
Taking the above into account you also know how to find all the common factors of 59 and 28, not just the greatest. In the next section we show you how to calculate the gcf of fifty-nine and twenty-eight by means of two more methods.
How to find the GCF of 59 and 28
The greatest common factor of 59 and 28 can be computed by using the least common multiple aka lcm of 59 and 28. This is the easiest approach:
Alternatively, the gcf of 59 and 28 can be found using the prime factorization of 59 and 28:
- The prime factorization of 59 is: 59
- The prime factorization of 28 is: 2 x 2 x 7
- The prime factors and multiplicities 59 and 28 have in common are: 1
- 1 is the gcf of 59 and 28
- gcf(59,28) = 1
In any case, the easiest way to compute the gcf of two numbers like 59 and 28 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 59,28. The calculation is conducted automatically.
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Use of GCF of 59 and 28
What is the greatest common factor of 59 and 28 used for? Answer: It is helpful for reducing fractions like 59 / 28. Just divide the nominator as well as the denominator by the gcf (59,28) to reduce the fraction to lowest terms.
Properties of GCF of 59 and 28
The most important properties of the gcf(59,28) are:
- Commutative property: gcf(59,28) = gcf(28,59)
- Associative property: gcf(59,28,n) = gcf(gcf(28,59),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 59 and 28 is 1. In common notation: gcf (59,28) = 1.
If you have been searching for gcf 59 and 28 or gcf 59 28 then you have come to the correct page, too. The same is the true if you typed gcf for 59 and 28 in your favorite search engine.
Note that you can find the greatest common factor of many integer pairs including fifty-nine / twenty-eight by using the search form in the sidebar of this page.
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