GCF of 100 and 72


The gcf of 100 and 72 is the largest positive integer that divides the numbers 100 and 72 without a remainder. Spelled out, it is the greatest common factor of 100 and 72. Here you can find the gcf of 100 and 72, 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 100 and 72, but also that of three or more integers including hundred and seventy-two for example. Keep reading to learn everything about the gcf (100,72) and the terms related to it.

What is the GCF of 100 and 72

If you just want to know what is the greatest common factor of 100 and 72, it is 4. Usually, this is written as

gcf(100,72) = 4

The gcf of 100 and 72 can be obtained like this:

  • The factors of 100 are 100, 50, 25, 20, 10, 5, 4, 2, 1.
  • The factors of 72 are 72, 36, 24, 18, 12, 9, 8, 6, 4, 3, 2, 1.
  • The common factors of 100 and 72 are 4, 2, 1, intersecting the two sets above.
  • In the intersection factors of 100 ∩ factors of 72 the greatest element is 4.
  • Therefore, the greatest common factor of 100 and 72 is 4.

Taking the above into account you also know how to find all the common factors of 100 and 72, not just the greatest. In the next section we show you how to calculate the gcf of hundred and seventy-two by means of two more methods.

How to find the GCF of 100 and 72

The greatest common factor of 100 and 72 can be computed by using the least common multiple aka lcm of 100 and 72. This is the easiest approach:

gcf (100,72) = $\frac{100 \times 72}{lcm(100,72)} = \frac{7200}{1800}$ = 4

Alternatively, the gcf of 100 and 72 can be found using the prime factorization of 100 and 72:

  • The prime factorization of 100 is: 2 x 2 x 5 x 5
  • The prime factorization of 72 is: 2 x 2 x 2 x 3 x 3
  • The prime factors and multiplicities 100 and 72 have in common are: 2 x 2
  • 2 x 2 is the gcf of 100 and 72
  • gcf(100,72) = 4

In any case, the easiest way to compute the gcf of two numbers like 100 and 72 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 100,72. The calculation is conducted automatically.

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

Use of GCF of 100 and 72

What is the greatest common factor of 100 and 72 used for? Answer: It is helpful for reducing fractions like 100 / 72. Just divide the nominator as well as the denominator by the gcf (100,72) to reduce the fraction to lowest terms.

$\frac{100}{72} = \frac{\frac{100}{4}}{\frac{72}{4}} = \frac{25}{18}$.

Properties of GCF of 100 and 72

The most important properties of the gcf(100,72) are:

  • Commutative property: gcf(100,72) = gcf(72,100)
  • Associative property: gcf(100,72,n) = gcf(gcf(72,100),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 100 and 72 is 4. In common notation: gcf (100,72) = 4.

If you have been searching for gcf 100 and 72 or gcf 100 72 then you have come to the correct page, too. The same is the true if you typed gcf for 100 and 72 in your favorite search engine.

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

Questions and comments related to the gcf of 100 and 72 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 100 and 72 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


92-52common multiples of 2 and 4the lcm of 4 and 5what is the gcf of 36 and 81what are common multiples of 3 and 4is 467 a prime numberprime factorization for 150hcf of 72 and 96is 107 a composite numberprime factorization for 12584 as a product of prime factorswhat are the prime factors of 65multiplication tables upto 20 pdf100-74prime factorization of 828the lcm of 2 and 4what is the prime factorization of 230prime factorization of 85prime factorization for 8what is the greatest common factor of 72 and 45what is the prime factorization of 425multiplication table upto 100greatest common factor of 35 and 63what is the prime factorization of 276multiplication table 20x20 printablefind the prime factorization of 99definition of a prime factorprime factorization 200factor tree for 14415x15 multiplication table70 prime factorizationgcf methodcommon denominator of 7 and 12write the prime factorization of 48find the prime factorization of 35whats the prime factorization of 90find the prime factorization of 125prime factorization 67prime factorization 135what is the prime factorization of 110what is the gcf of 56 and 96the prime factorization of 104multiplication table 16 x 16100-74gcf and lcm of 36 and 45is 91 a prime or composite number12 x 12 multiplication tableprintable multiplication chart 1-20prime factorization of 256common multiples of 6 and 4easiest way to find greatest common factorprime factorization of 124prime factorization of 15444 as a product of prime factorsfind the prime factorization of 56what is the prime factorization of 39what is the lcm of 2 and 8what is the prime factorization of 97700 prime factorizationprime factorization of 38051 prime factorizationgcf of 36 and 63is 69 a prime or composite numberwhat is the prime factorization of 2800what is the lcm of 30find the prime factorization of 58find the prime factorization of 70printable multiplication table 1-20prime factorization for 175200 multiplication chartcommon multiples of 6 and 7what is the largest prime factor of 35common multiples of 9multiplication tables 1-100which of the factors of 100 are prime numbersmultiplication table to 300prime factorization of 720prime factorization of 94times table 15x15prime factorization for 140