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The **gcf of 91 and 5** is the largest positive integer that divides the numbers 91 and 5 without a remainder. Spelled out, it is the greatest common factor of 91 and 5. Here you can find the gcf of 91 and 5, along with a total of three methods for computing it.

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## What is the GCF of 91 and 5

If you just want to know *what is the greatest common factor of 91 and 5*, it is **1**. Usually, this is written as

**gcf(91,5) = 1**

The gcf of 91 and 5 can be obtained like this:

- The factors of 91 are 91, 13, 7, 1.
- The factors of 5 are 5, 1.
- The
*common*factors of 91 and 5 are 1, intersecting the two sets above. - In the intersection factors of 91 ∩ factors of 5 the
*greatest*element is 1. - Therefore, the
**greatest common factor of 91 and 5 is 1**.

Taking the above into account you also know how to find *all* the common factors of 91 and 5, not just the greatest. In the next section we show you how to calculate the gcf of ninety-one and five by means of two more methods.

## How to find the GCF of 91 and 5

The greatest common factor of 91 and 5 can be computed by using the least common multiple aka lcm of 91 and 5. This is the easiest approach:

Alternatively, the gcf of 91 and 5 can be found using the prime factorization of 91 and 5:

- The prime factorization of 91 is: 7 x 13
- The prime factorization of 5 is: 5
- The prime factors and multiplicities 91 and 5 have in common are: 1
- 1 is the gcf of 91 and 5
- gcf(91,5) = 1

In any case, the easiest way to compute the gcf of two numbers like 91 and 5 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 91,5. The calculation is conducted automatically.

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## Use of GCF of 91 and 5

What is the greatest common factor of 91 and 5 used for? Answer: It is helpful for reducing fractions like 91 / 5. Just divide the nominator as well as the denominator by the gcf (91,5) to reduce the fraction to lowest terms.

## Properties of GCF of 91 and 5

The most important properties of the gcf(91,5) are:

- Commutative property: gcf(91,5) = gcf(5,91)
- Associative property: gcf(91,5,n) = gcf(gcf(5,91),n)

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 91 and 5 is 1. In common notation: gcf (91,5) = 1.

If you have been searching for gcf 91 and 5 or gcf 91 5 then you have come to the correct page, too. The same is the true if you typed gcf for 91 and 5 in your favorite search engine.

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

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