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GCF of 89 and 96

The gcf of 89 and 96 is the largest positive integer that divides the numbers 89 and 96 without a remainder. Spelled out, it is the greatest common factor of 89 and 96. Here you can find the result for 89 and 96, along with a total of three methods for computing it.


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This Greatest Common Factor Calculator is Really Cool! Click To TweetYou should check out our calculator. Not only can it determine the outcome of 89 and 96, but also that of three or more integers including eighty-nine and ninety-six for example. Keep reading to learn everything about the gcf (89,96) and the terms related to it.

What is the Greatest Common Factor of 89 and 96?

If you just want to know what is the greatest common factor of 89 and 96, it is 1. Usually, this is written as

gcf(89,96) = 1


The gcf of 89 and 96 can be obtained like this:
  • The factors of 89 are 89, 1.
  • The factors of 96 are 96, 48, 32, 24, 16, 12, 8, 6, 4, 3, 2, 1.
  • The common factors of 89 and 96 are 1, intersecting the two sets above.
  • In the intersection factors of 89 ∩ factors of 96 the greatest element is 1.
  • Therefore, the greatest common factor of 89 and 96 is 1.

Taking the above into account you also know how to find all the common factors of 89 and 96, not just the greatest. In the next section we show you how to calculate the gcf of eighty-nine and ninety-six by means of two more methods.

How to find the GCF of 89 and 96

The greatest common factor of 89 and 96 can be computed by using the least common multiple aka lcm of 89 and 96. This is the easiest approach:

gcf (89,96) = = 1



Alternatively, the gcf of 89 and 96 can be found using the prime factorization of 89 and 96:
  • The prime factorization of 89 is: 89
  • The prime factorization of 96 is: 2 x 2 x 2 x 2 x 2 x 3
  • The prime factors and multiplicities 89 and 96 have in common are: 1
  • 1 is the gcf of 89 and 96
  • gcf(89,96) = 1

In any case, the easiest way to compute the result for two numbers like 89 and 96 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 89,96. 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 89 and 96

What is the greatest common factor of 89 and 96 used for? Answer: It is helpful for reducing fractions like 89 / 96. Just divide the nominator as well as the denominator by the gcf (89,96) to reduce the fraction to lowest terms.

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Next, we shed a light on the mathematical properties.

Properties of GCF of 89 and 96

The most important properties of the gcf(89,96) are:

  • Commutative property: gcf(89,96) = gcf(96,89)
  • Associative property: gcf(89,96,n) = gcf(gcf(96,89),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 eighty-nine / ninety-six by using the search form in the sidebar of this page.

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