GCF of 64 and 88


The gcf of 64 and 88 is the largest positive integer that divides the numbers 64 and 88 without a remainder. Spelled out, it is the greatest common factor of 64 and 88. Here you can find the gcf of 64 and 88, 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 64 and 88, but also that of three or more integers including sixty-four and eighty-eight for example. Keep reading to learn everything about the gcf (64,88) and the terms related to it.

What is the GCF of 64 and 88

If you just want to know what is the greatest common factor of 64 and 88, it is 8. Usually, this is written as

gcf(64,88) = 8

The gcf of 64 and 88 can be obtained like this:

  • The factors of 64 are 64, 32, 16, 8, 4, 2, 1.
  • The factors of 88 are 88, 44, 22, 11, 8, 4, 2, 1.
  • The common factors of 64 and 88 are 8, 4, 2, 1, intersecting the two sets above.
  • In the intersection factors of 64 ∩ factors of 88 the greatest element is 8.
  • Therefore, the greatest common factor of 64 and 88 is 8.

Taking the above into account you also know how to find all the common factors of 64 and 88, not just the greatest. In the next section we show you how to calculate the gcf of sixty-four and eighty-eight by means of two more methods.

How to find the GCF of 64 and 88

The greatest common factor of 64 and 88 can be computed by using the least common multiple aka lcm of 64 and 88. This is the easiest approach:

gcf (64,88) = $\frac{64 \times 88}{lcm(64,88)} = \frac{5632}{704}$ = 8

Alternatively, the gcf of 64 and 88 can be found using the prime factorization of 64 and 88:

  • The prime factorization of 64 is: 2 x 2 x 2 x 2 x 2 x 2
  • The prime factorization of 88 is: 2 x 2 x 2 x 11
  • The prime factors and multiplicities 64 and 88 have in common are: 2 x 2 x 2
  • 2 x 2 x 2 is the gcf of 64 and 88
  • gcf(64,88) = 8

In any case, the easiest way to compute the gcf of two numbers like 64 and 88 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 64,88. The calculation is conducted automatically.

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

Use of GCF of 64 and 88

What is the greatest common factor of 64 and 88 used for? Answer: It is helpful for reducing fractions like 64 / 88. Just divide the nominator as well as the denominator by the gcf (64,88) to reduce the fraction to lowest terms.

$\frac{64}{88} = \frac{\frac{64}{8}}{\frac{88}{8}} = \frac{8}{11}$.

Properties of GCF of 64 and 88

The most important properties of the gcf(64,88) are:

  • Commutative property: gcf(64,88) = gcf(88,64)
  • Associative property: gcf(64,88,n) = gcf(gcf(88,64),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 64 and 88 is 8. In common notation: gcf (64,88) = 8.

If you have been searching for gcf 64 and 88 or gcf 64 88 then you have come to the correct page, too. The same is the true if you typed gcf for 64 and 88 in your favorite search engine.

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

Questions and comments related to the gcf of 64 and 88 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 64 and 88 has been useful to you, and make sure to bookmark our site.

Thanks for your visit.

Print Friendly, PDF & Email
Posted in Greatest Common Factor

Leave a Reply

Your email address will not be published. Required fields are marked *

*


Related pages


100-85list of prime factors to 1001 to 100 multiplication tableprime factorization of 198is 621 a prime numberprime factorization for 90gcf of 46 and 69gcf of 48 and 64find the lcm of 12 and 15prime factorization of 770what is the prime factorization of 38write 99 as a product of prime factorsgcf of 56 and 6354 prime factorswhat is the greatest common factor of 84what is the gcf of 44 and 667x tablesprime factorization of 365prime factorization for 63prime factorization for 75is 801 a prime numberwhat is a prime factorization of 72composite numbers 1 1000what is prime factorization of 75lcm 5 7gcf of 64 and 48what is the prime factorization for 80prime factorization of 289gcf of 90 and 108what is the lcm of 3 and 7prime factors of 84prime factorization for 55multiplication table 1-500common multiples of 3 and 7100-68is 33 a prime or composite numberwhat is the prime factorization of 230200 multiplication chartprime factorization for 105whats the lcm of 6 and 8prime factorization for 216prime factorization 81prime factorization of 624common multiples of 5 and 8127 is a prime numbercommon multiples of 24 and 36 from 1 to 100multiplication table up to 25what is the prime factorization of 140what is the prime factorization of 46what is prime factorization of 63gcf of 32 and 72what is the prime factor of 92what is the lcm of 8 and 3what is the prime factorization of 138gcf of 81 and 36what is the greatest common factor of 60 and 72what is the prime factorization of 119prime factors of 300multiplication chart that goes up to 20write 24 as a product of prime factorsprime factorization of 84prime factorization of 184is 33 a prime or composite numberprime factorization of 73times tables chart 1-100what is the gcf of 2prime factorization 147find the prime factorization of 51gcf of 65is 139 a prime numberwhat is the prime factorization of 88