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# GCF of 97 and 78

The gcf of 97 and 78 is the largest positive integer that divides the numbers 97 and 78 without a remainder. Spelled out, it is the greatest common factor of 97 and 78. Here you can find the gcf of 97 and 78, 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 97 and 78, but also that of three or more integers including ninety-seven and seventy-eight for example. Keep reading to learn everything about the gcf (97,78) and the terms related to it.

## What is the GCF of 97 and 78

If you just want to know what is the greatest common factor of 97 and 78, it is 1. Usually, this is written as

gcf(97,78) = 1

The gcf of 97 and 78 can be obtained like this:

• The factors of 97 are 97, 1.
• The factors of 78 are 78, 39, 26, 13, 6, 3, 2, 1.
• The common factors of 97 and 78 are 1, intersecting the two sets above.
• In the intersection factors of 97 ∩ factors of 78 the greatest element is 1.
• Therefore, the greatest common factor of 97 and 78 is 1.

Taking the above into account you also know how to find all the common factors of 97 and 78, not just the greatest. In the next section we show you how to calculate the gcf of ninety-seven and seventy-eight by means of two more methods.

## How to find the GCF of 97 and 78

The greatest common factor of 97 and 78 can be computed by using the least common multiple aka lcm of 97 and 78. This is the easiest approach:

gcf (97,78) = = 1

Alternatively, the gcf of 97 and 78 can be found using the prime factorization of 97 and 78:

• The prime factorization of 97 is: 97
• The prime factorization of 78 is: 2 x 3 x 13
• The prime factors and multiplicities 97 and 78 have in common are: 1
• 1 is the gcf of 97 and 78
• gcf(97,78) = 1

In any case, the easiest way to compute the gcf of two numbers like 97 and 78 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 97,78. The calculation is conducted automatically.

Similar searched terms on our site also include:

## Use of GCF of 97 and 78

What is the greatest common factor of 97 and 78 used for? Answer: It is helpful for reducing fractions like 97 / 78. Just divide the nominator as well as the denominator by the gcf (97,78) to reduce the fraction to lowest terms.

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## Properties of GCF of 97 and 78

The most important properties of the gcf(97,78) are:

• Commutative property: gcf(97,78) = gcf(78,97)
• Associative property: gcf(97,78,n) = gcf(gcf(78,97),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 97 and 78 is 1. In common notation: gcf (97,78) = 1.

If you have been searching for gcf 97 and 78 or gcf 97 78 then you have come to the correct page, too. The same is the true if you typed gcf for 97 and 78 in your favorite search engine.

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

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