GCF of 85 and 17


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

What is the GCF of 85 and 17

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

gcf(85,17) = 17

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

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

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

How to find the GCF of 85 and 17

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

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

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

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

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

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

Use of GCF of 85 and 17

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

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

Properties of GCF of 85 and 17

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

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

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

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

Questions and comments related to the gcf of 85 and 17 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 17 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 are the prime factorization of 81prime factorization of 310continuous division method gcfprime factor of 125multiplication table 40 x 40what is the prime factorization for 132is 197 a prime numberwhat is 36 as a product of prime factorsprime factorization 54prime factors of 945what is the prime factorization of 144what is the prime factorization for 200prime factors of 65what is the prime factorization of 63common multiples of 2 and 4lcm 5 7gcf of 69 and 92what is the prime factorization of 145greatest common factor of 64 and 80what are the prime factors of 91gcf of 90 and 75prime factorization 350multiplication table 13 to 20find the prime factorization of 52prime factors of 1050multiplication chart 1-984-35what is the prime factorization of 36428 product of prime factorswhat is the prime factorization of 46whats the prime factorization of 60greatest common factor of 39 and 52prime factor of 92multiplication chart 30x30prime factorization of 49write 52 as a product of prime factors36-27-36what is the prime factorization of 333what is the greatest common factor of 84 and 96prime factorization of 98 using exponentswhat is the gcf of 35 and 63prime factorization of 728write 54 as a product of prime factorsfind the prime factorization of 34what is the prime factorization of 12012x tablesprime factorization of 230prime factorization for 46prime factorization of 350composite numbers to 1000the prime factorization of 15greatest common factor of 36 and 44smallest common multiple of 36 and 60prime factor of 76prime factorization for 126multiplication chart 1-100what is the greatest common factor of 60 and 72what is the gcf of 96 and 8415x15 multiplication tablecommon multiples of 2 and 3prime factorization of 1900prime factorization for 76prime factorization of 39what is the prime factorization of 484gcf of 64 and 48common multiples of 16 and 18prime factors of 405prime factorization for 80what is the prime factorization of 225multiplication table 1-20is 729 a prime numbertimes table 30x30prime factorization of 6092-52greatest common factor of 120is 63 prime or composite number36 multiplication facts