GCF of 17 and 85


The gcf of 17 and 85 is the largest positive integer that divides the numbers 17 and 85 without a remainder. Spelled out, it is the greatest common factor of 17 and 85. Here you can find the gcf of 17 and 85, 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 17 and 85, but also that of three or more integers including seventeen and eighty-five for example. Keep reading to learn everything about the gcf (17,85) and the terms related to it.

What is the GCF of 17 and 85

If you just want to know what is the greatest common factor of 17 and 85, it is 17. Usually, this is written as

gcf(17,85) = 17

The gcf of 17 and 85 can be obtained like this:

  • The factors of 17 are 17, 1.
  • The factors of 85 are 85, 17, 5, 1.
  • The common factors of 17 and 85 are 17, 1, intersecting the two sets above.
  • In the intersection factors of 17 ∩ factors of 85 the greatest element is 17.
  • Therefore, the greatest common factor of 17 and 85 is 17.

Taking the above into account you also know how to find all the common factors of 17 and 85, not just the greatest. In the next section we show you how to calculate the gcf of seventeen and eighty-five by means of two more methods.

How to find the GCF of 17 and 85

The greatest common factor of 17 and 85 can be computed by using the least common multiple aka lcm of 17 and 85. This is the easiest approach:

gcf (17,85) = $\frac{17 \times 85}{lcm(17,85)} = \frac{1445}{85}$ = 17

Alternatively, the gcf of 17 and 85 can be found using the prime factorization of 17 and 85:

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

In any case, the easiest way to compute the gcf of two numbers like 17 and 85 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 17,85. The calculation is conducted automatically.

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

Use of GCF of 17 and 85

What is the greatest common factor of 17 and 85 used for? Answer: It is helpful for reducing fractions like 17 / 85. Just divide the nominator as well as the denominator by the gcf (17,85) to reduce the fraction to lowest terms.

$\frac{17}{85} = \frac{\frac{17}{17}}{\frac{85}{17}} = \frac{1}{5}$.

Properties of GCF of 17 and 85

The most important properties of the gcf(17,85) are:

  • Commutative property: gcf(17,85) = gcf(85,17)
  • Associative property: gcf(17,85,n) = gcf(gcf(85,17),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 17 and 85 is 17. In common notation: gcf (17,85) = 17.

If you have been searching for gcf 17 and 85 or gcf 17 85 then you have come to the correct page, too. The same is the true if you typed gcf for 17 and 85 in your favorite search engine.

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

Questions and comments related to the gcf of 17 and 85 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 17 and 85 has been useful to you, and make sure to bookmark our site.

Thanks for your visit.

Print Friendly, PDF & Email
Posted in Greatest Common Factor

Leave a Reply

Your email address will not be published. Required fields are marked *

*


Related pages


what is the lcm of 3 and 5what is the lcm of 9is 153 a prime numberprime factor of 52prime factorization for 65the lcm of 3 and 4prime factors of 57prime factorization of 400 using exponentsprime factorization of 138gcf of 42 and 66prime factors of 294common multiples of 9 and 12prime factorization of 8756x tables chartprime factorization for 200what is the prime factorization of 153the prime factorization of 58common multiples of 2 and 7100-72the prime factors of 84prime factorization for 72prime factorization 88prime factorization 45what is the greatest common factor of 96 and 64prime factorization 58prime factorization for 64is 86 a prime or composite numberprime factorization of 310multiplication table 40common multiples of 5 and 6common multiples of 7 and 14what is the gcf ofgcf of 42 and 66what is the prime factorization of 385prime factorization 250prime factor of 98hcf of 60 and 75multiplication table 1 30 printablethe prime factorization of 84multiplication table 40x40calculator for gcfmost common factor calculatorgcf of 52 and 65lcm of 144multiplication chart 1-13is 191 a prime numbercommon multiples of 2 and 3multiplication table 13 to 20write the prime factorization of 27what is the prime factors of 81prime factorization 196lcm 5 7what is the greatest common factor of 96 and 64prime factorization of 725what are the prime factors of 625prime factorization of 23048 as a product of its prime factorswhat are the prime factors of 294what is the prime factorization of 117multiplication table 1-30common multiples of 6 and 15prime factorization of 202is 50 a prime or composite numberis 237 a prime numberwhat is the prime factorization of 344what is the prime factorization of 231common multiples of 4 and 7what is the prime factorization of 168prime factorization of 429whats a prime factorgcf of 98common multiples of 4 and 6what are the prime factors of 65prime factorization for 216what are the prime factorization of 80