Home » Greatest Common Factor » GCF of 38 and 85

GCF of 38 and 85

The gcf of 38 and 85 is the largest positive integer that divides the numbers 38 and 85 without a remainder. Spelled out, it is the greatest common factor of 38 and 85. Here you can find the result for 38 and 85, along with a total of three methods for computing it.


1

This Greatest Common Factor Calculator is Really Cool! Click To TweetYou should check out our calculator. Not only can it determine the outcome of 38 and 85, but also that of three or more integers including thirty-eight and eighty-five for example. Keep reading to learn everything about the gcf (38,85) and the terms related to it.

What is the Greatest Common Factor of 38 and 85?

If you just want to know what is the greatest common factor of 38 and 85, it is 1. Usually, this is written as

gcf(38,85) = 1


The gcf of 38 and 85 can be obtained like this:
  • The factors of 38 are 38, 19, 2, 1.
  • The factors of 85 are 85, 17, 5, 1.
  • The common factors of 38 and 85 are 1, intersecting the two sets above.
  • In the intersection factors of 38 ∩ factors of 85 the greatest element is 1.
  • Therefore, the greatest common factor of 38 and 85 is 1.

Taking the above into account you also know how to find all the common factors of 38 and 85, not just the greatest. In the next section we show you how to calculate the gcf of thirty-eight and eighty-five by means of two more methods.

How to find the GCF of 38 and 85

The greatest common factor of 38 and 85 can be computed by using the least common multiple aka lcm of 38 and 85. This is the easiest approach:

gcf (38,85) = = 1



Alternatively, the gcf of 38 and 85 can be found using the prime factorization of 38 and 85:
  • The prime factorization of 38 is: 2 x 19
  • The prime factorization of 85 is: 5 x 17
  • The prime factors and multiplicities 38 and 85 have in common are: 1
  • 1 is the gcf of 38 and 85
  • gcf(38,85) = 1

In any case, the easiest way to compute the result for two numbers like 38 and 85 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 38,85. The calculation is conducted automatically.

Similar searched terms on our site also include:

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 38 and 85

What is the greatest common factor of 38 and 85 used for? Answer: It is helpful for reducing fractions like 38 / 85. Just divide the nominator as well as the denominator by the gcf (38,85) to reduce the fraction to lowest terms.

.

Next, we shed a light on the mathematical properties.

Properties of GCF of 38 and 85

The most important properties of the gcf(38,85) are:

  • Commutative property: gcf(38,85) = gcf(85,38)
  • Associative property: gcf(38,85,n) = gcf(gcf(85,38),n)

The associativity is particularly useful to get the gcf of three or more numbers; our calculator makes use of it.

Summary

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

Questions and comments 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 38 and 85 has been useful to you, and make sure to bookmark our site.

If you have some time left check out the related sites and resources in the sidebar of this site.

Thanks for your visit.

– Article written by Mark, last updated on August 8th, 2023