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# GCF of 21 and 62

The gcf of 21 and 62 is the largest positive integer that divides the numbers 21 and 62 without a remainder. Spelled out, it is the greatest common factor of 21 and 62. Here you can find the gcf of 21 and 62, 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 21 and 62, but also that of three or more integers including twenty-one and sixty-two for example. Keep reading to learn everything about the gcf (21,62) and the terms related to it.

## What is the GCF of 21 and 62

If you just want to know what is the greatest common factor of 21 and 62, it is 1. Usually, this is written as

gcf(21,62) = 1

The gcf of 21 and 62 can be obtained like this:

• The factors of 21 are 21, 7, 3, 1.
• The factors of 62 are 62, 31, 2, 1.
• The common factors of 21 and 62 are 1, intersecting the two sets above.
• In the intersection factors of 21 ∩ factors of 62 the greatest element is 1.
• Therefore, the greatest common factor of 21 and 62 is 1.

Taking the above into account you also know how to find all the common factors of 21 and 62, not just the greatest. In the next section we show you how to calculate the gcf of twenty-one and sixty-two by means of two more methods.

## How to find the GCF of 21 and 62

The greatest common factor of 21 and 62 can be computed by using the least common multiple aka lcm of 21 and 62. This is the easiest approach:

gcf (21,62) = = 1

Alternatively, the gcf of 21 and 62 can be found using the prime factorization of 21 and 62:

• The prime factorization of 21 is: 3 x 7
• The prime factorization of 62 is: 2 x 31
• The prime factors and multiplicities 21 and 62 have in common are: 1
• 1 is the gcf of 21 and 62
• gcf(21,62) = 1

In any case, the easiest way to compute the gcf of two numbers like 21 and 62 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 21,62. The calculation is conducted automatically.

Similar searched terms on our site also include:

## Use of GCF of 21 and 62

What is the greatest common factor of 21 and 62 used for? Answer: It is helpful for reducing fractions like 21 / 62. Just divide the nominator as well as the denominator by the gcf (21,62) to reduce the fraction to lowest terms.

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## Properties of GCF of 21 and 62

The most important properties of the gcf(21,62) are:

• Commutative property: gcf(21,62) = gcf(62,21)
• Associative property: gcf(21,62,n) = gcf(gcf(62,21),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 21 and 62 is 1. In common notation: gcf (21,62) = 1.

If you have been searching for gcf 21 and 62 or gcf 21 62 then you have come to the correct page, too. The same is the true if you typed gcf for 21 and 62 in your favorite search engine.

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

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