# GCF of 85 and 100

The gcf of 85 and 100 is the largest positive integer that divides the numbers 85 and 100 without a remainder. Spelled out, it is the greatest common factor of 85 and 100. Here you can find the gcf of 85 and 100, along with a total of three methods for computing it. In addition, we have a calculator you should check out. Not only can it determine the gcf of 85 and 100, but also that of three or more integers including eighty-five and hundred for example. Keep reading to learn everything about the gcf (85,100) and the terms related to it.

## What is the GCF of 85 and 100

If you just want to know what is the greatest common factor of 85 and 100, it is 5. Usually, this is written as

gcf(85,100) = 5

The gcf of 85 and 100 can be obtained like this:

• The factors of 85 are 85, 17, 5, 1.
• The factors of 100 are 100, 50, 25, 20, 10, 5, 4, 2, 1.
• The common factors of 85 and 100 are 5, 1, intersecting the two sets above.
• In the intersection factors of 85 ∩ factors of 100 the greatest element is 5.
• Therefore, the greatest common factor of 85 and 100 is 5.

Taking the above into account you also know how to find all the common factors of 85 and 100, not just the greatest. In the next section we show you how to calculate the gcf of eighty-five and hundred by means of two more methods.

## How to find the GCF of 85 and 100

The greatest common factor of 85 and 100 can be computed by using the least common multiple aka lcm of 85 and 100. This is the easiest approach:

gcf (85,100) = $\frac{85 \times 100}{lcm(85,100)} = \frac{8500}{1700}$ = 5

Alternatively, the gcf of 85 and 100 can be found using the prime factorization of 85 and 100:

• The prime factorization of 85 is: 5 x 17
• The prime factorization of 100 is: 2 x 2 x 5 x 5
• The prime factors and multiplicities 85 and 100 have in common are: 5
• 5 is the gcf of 85 and 100
• gcf(85,100) = 5

In any case, the easiest way to compute the gcf of two numbers like 85 and 100 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 85,100. The calculation is conducted automatically.

The gcf is...
Frequently searched terms on our site also include:

## Use of GCF of 85 and 100

What is the greatest common factor of 85 and 100 used for? Answer: It is helpful for reducing fractions like 85 / 100. Just divide the nominator as well as the denominator by the gcf (85,100) to reduce the fraction to lowest terms.

$\frac{85}{100} = \frac{\frac{85}{5}}{\frac{100}{5}} = \frac{17}{20}$.

## Properties of GCF of 85 and 100

The most important properties of the gcf(85,100) are:

• Commutative property: gcf(85,100) = gcf(100,85)
• Associative property: gcf(85,100,n) = gcf(gcf(100,85),n) $\hspace{10px}n\hspace{3px}\epsilon\hspace{3px}\mathbb{Z}$

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 85 and 100 is 5. In common notation: gcf (85,100) = 5.

If you have been searching for gcf 85 and 100 or gcf 85 100 then you have come to the correct page, too. The same is the true if you typed gcf for 85 and 100 in your favorite search engine.

Note that you can find the greatest common factor of many integer pairs including eighty-five / hundred by using the search form in the sidebar of this page.

Questions and comments related to the gcf of 85 and 100 are really appreciated. Use the form below or send us a mail to get in touch.

Please hit the sharing buttons if our article about the greatest common factor of 85 and 100 has been useful to you, and make sure to bookmark our site.

Thanks for your visit.

Posted in Greatest Common Factor

## Related pages

81-36least common multiples chartlcm of 75what is the prime factorization of 88prime factorization of 684common multiples of 6greatest common factor of 72 and 96prime factors of 293what is the prime factorization of 225greatest common factor of 36 and 44what is the prime factorization of 33prime factorization of 39prime factorization of 37590-54what is the greatest common factor of 72 and 54what are the prime factors of 88greatest common factor of 54 and 36gcf of 81 and 6420 by 20 multiplication chart printableprime factors 72times table chart 1-30gcfcalculatorprime factorization of 650prime factorization of 33is 173 a prime numberis 199 a prime numbercommon denominator of 5 and 104x times tablescommon multiples of 4 and 6what is the lcm of 9prime factorization of 49what is the prime factorization of 96prime factorization 51gcf of 17 and 85prime factorization of 125lcm of 18 and 72what is the lcm ofprime factorization of 648determine the prime factorization of 90prime factors of 57what is the prime factorization of 68prime factorization 105what is the gcf of 33 and 66what is the greatest common factor of 28 and 70what is the prime factorization of 65greatest common factor of 64 and 48127 prime numberlist of prime factors to 100what is the greatest common factor of 35 and 63multiplication table from 1 to 10034-24-34prime factorization of 728find the prime factorization of 728s times tablescomposite numbers to 1000common multiples of 15factor tree of 84is 49 a prime or composite numberwhat is prime factorization of 84common multiples of 6 and 736-25-36what is the prime factorization of 735what is the gcf of 44 and 66multiplication chart 1 500prime factorization of 44greatest common factor of 48 and 644s times tablescommon multiples of 24 and 36 from 1 to 100multiplication chart that goes up to 100whats prime factorizationgreatest common factor of 56 and 42what is the greatest common factor of 70 and 42greatest common factor of 45 and 72greatest common factor of 48 and 64is 117 prime numberis 179 a prime numberprime factorization of 154