# GCF of 63 and 81

The gcf of 63 and 81 is the largest positive integer that divides the numbers 63 and 81 without a remainder. Spelled out, it is the greatest common factor of 63 and 81. Here you can find the gcf of 63 and 81, along with a total of three methods for computing it. In addition, we have a calculator you should check out. Not only can it determine the gcf of 63 and 81, but also that of three or more integers including sixty-three and eighty-one for example. Keep reading to learn everything about the gcf (63,81) and the terms related to it.

## What is the GCF of 63 and 81

If you just want to know what is the greatest common factor of 63 and 81, it is 9. Usually, this is written as

gcf(63,81) = 9

The gcf of 63 and 81 can be obtained like this:

• The factors of 63 are 63, 21, 9, 7, 3, 1.
• The factors of 81 are 81, 27, 9, 3, 1.
• The common factors of 63 and 81 are 9, 3, 1, intersecting the two sets above.
• In the intersection factors of 63 ∩ factors of 81 the greatest element is 9.
• Therefore, the greatest common factor of 63 and 81 is 9.

Taking the above into account you also know how to find all the common factors of 63 and 81, not just the greatest. In the next section we show you how to calculate the gcf of sixty-three and eighty-one by means of two more methods.

## How to find the GCF of 63 and 81

The greatest common factor of 63 and 81 can be computed by using the least common multiple aka lcm of 63 and 81. This is the easiest approach:

gcf (63,81) = $\frac{63 \times 81}{lcm(63,81)} = \frac{5103}{567}$ = 9

Alternatively, the gcf of 63 and 81 can be found using the prime factorization of 63 and 81:

• The prime factorization of 63 is: 3 x 3 x 7
• The prime factorization of 81 is: 3 x 3 x 3 x 3
• The prime factors and multiplicities 63 and 81 have in common are: 3 x 3
• 3 x 3 is the gcf of 63 and 81
• gcf(63,81) = 9

In any case, the easiest way to compute the gcf of two numbers like 63 and 81 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 63,81. The calculation is conducted automatically.

The gcf is...
Frequently searched terms on our site also include:

## Use of GCF of 63 and 81

What is the greatest common factor of 63 and 81 used for? Answer: It is helpful for reducing fractions like 63 / 81. Just divide the nominator as well as the denominator by the gcf (63,81) to reduce the fraction to lowest terms.

$\frac{63}{81} = \frac{\frac{63}{9}}{\frac{81}{9}} = \frac{7}{9}$.

## Properties of GCF of 63 and 81

The most important properties of the gcf(63,81) are:

• Commutative property: gcf(63,81) = gcf(81,63)
• Associative property: gcf(63,81,n) = gcf(gcf(81,63),n) $\hspace{10px}n\hspace{3px}\epsilon\hspace{3px}\mathbb{Z}$

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 63 and 81 is 9. In common notation: gcf (63,81) = 9.

If you have been searching for gcf 63 and 81 or gcf 63 81 then you have come to the correct page, too. The same is the true if you typed gcf for 63 and 81 in your favorite search engine.

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

Questions and comments related to the gcf of 63 and 81 are really appreciated. Use the form below or send us a mail to get in touch.

Please hit the sharing buttons if our article about the greatest common factor of 63 and 81 has been useful to you, and make sure to bookmark our site.

Posted in Greatest Common Factor
###### One comment on “GCF of 63 and 81”
1. Essence Thomas says:

Thank you so much very helpful website love it!!!!!

## Related pages

hcf of 60 and 75what is prime factorization of 63prime factorization of 57hcf of 45 and 72prime factorizations of 72is 237 a prime numberprime factorization of 990prime factorization of 170020 x 20 multiplication tablethe prime factorization of 95what is the prime factorization of 102what is the gcf of 84prime factorization of 147prime factorization of 399hcf of 75times table 1-20common denominator of 5 and 10what is the greatest common factor of 60 and 72is 173 a prime numberprime factorization of 294what is the lcm of 4 and 5what is the prime factorization of 86prime factorization for 64multiplication table from 1 to 10040x timetablewhat are the divisors of 64what is the prime factorization of 1000factor tree of 8199 prime factorizationcontinuous division method gcfprime factors 72the prime factors of 841-20 multiplication tablewhat is the prime factorization of 10prime factorization of 184find the prime factorization of 105prime factorization of 208factorization of 175what is the least common multiple of 48 and 72prime factorization 58what is the greatest common factor of 128 and 192what is the gcf of 35 and 63composite numbers to 1000common multiples of 6 7 8multiplication chart 1-30prime factorization of 525prime factorization of 770factors of14489 prime factorizationprime factorization of 396gcf of 42 and 66prime factorization of 53prime factorization of 96is 673 a prime numberwhat is the prime factorization of 289what is the prime factorization of 145multiplication table 1-40find the prime factorization of 2844 as a product of prime factorsprime factors of 196prime factorization for 70is 24 a composite or prime numberwhat is the greatest common factor of 84 and 96prime factorization of 145prime factorization of 176what is the prime factorization of 21common multiples of 4 and 9what is the prime factorization of 164prime factorization of 55multiplication table 30 x 30common multiples of 8