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# GCF of 18 and 19

The gcf of 18 and 19 is the largest positive integer that divides the numbers 18 and 19 without a remainder. Spelled out, it is the greatest common factor of 18 and 19. Here you can find the gcf of 18 and 19, along with a total of three methods for computing it.

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In addition, we have a calculator you should check out. Not only can it determine the gcf of 18 and 19, but also that of three or more integers including eighteen and nineteen for example. Keep reading to learn everything about the gcf (18,19) and the terms related to it.

## What is the GCF of 18 and 19

If you just want to know what is the greatest common factor of 18 and 19, it is 1. Usually, this is written as

gcf(18,19) = 1

The gcf of 18 and 19 can be obtained like this:

• The factors of 18 are 18, 9, 6, 3, 2, 1.
• The factors of 19 are 19, 1.
• The common factors of 18 and 19 are 1, intersecting the two sets above.
• In the intersection factors of 18 ∩ factors of 19 the greatest element is 1.
• Therefore, the greatest common factor of 18 and 19 is 1.

Taking the above into account you also know how to find all the common factors of 18 and 19, not just the greatest. In the next section we show you how to calculate the gcf of eighteen and nineteen by means of two more methods.

## How to find the GCF of 18 and 19

The greatest common factor of 18 and 19 can be computed by using the least common multiple aka lcm of 18 and 19. This is the easiest approach:

gcf (18,19) = = 1

Alternatively, the gcf of 18 and 19 can be found using the prime factorization of 18 and 19:

• The prime factorization of 18 is: 2 x 3 x 3
• The prime factorization of 19 is: 19
• The prime factors and multiplicities 18 and 19 have in common are: 1
• 1 is the gcf of 18 and 19
• gcf(18,19) = 1

In any case, the easiest way to compute the gcf of two numbers like 18 and 19 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 18,19. The calculation is conducted automatically.

Similar searched terms on our site also include:

## Use of GCF of 18 and 19

What is the greatest common factor of 18 and 19 used for? Answer: It is helpful for reducing fractions like 18 / 19. Just divide the nominator as well as the denominator by the gcf (18,19) to reduce the fraction to lowest terms.

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## Properties of GCF of 18 and 19

The most important properties of the gcf(18,19) are:

• Commutative property: gcf(18,19) = gcf(19,18)
• Associative property: gcf(18,19,n) = gcf(gcf(19,18),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 18 and 19 is 1. In common notation: gcf (18,19) = 1.

If you have been searching for gcf 18 and 19 or gcf 18 19 then you have come to the correct page, too. The same is the true if you typed gcf for 18 and 19 in your favorite search engine.

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

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