GCF of 72 and 100


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

What is the GCF of 72 and 100

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

gcf(72,100) = 4

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

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

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

How to find the GCF of 72 and 100

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

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

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

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

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

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

Use of GCF of 72 and 100

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

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

Properties of GCF of 72 and 100

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

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

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

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

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


prime factor of 52what is the prime factorization of 525prime factors of 108prime factors of 75multiplication table 0-100what is the prime factorization of 76what is the prime factorization of 400largest common denominator calculatorprime factorization 126multiplication table 1-50025 by 25 multiplication chartwhat is the greatest common factor of 63 and 81least common multiples of 3 and 4what is the prime factorization of 130what is the prime factorization of 190easiest way to find the greatest common factorhcf of 60 and 75prime factorization 99is 169 a prime numberwhat is the prime factorization of 385what is the greatest common factor of 54 and 36what is the prime factorization of 328greatest common factor of 21 35 49prime numbers 1-60multiplication tables upto 20 pdfwhat is the prime factorization of 54common multiples of 9 and 7write 60 as a product of prime factorsprintable multiplication chart 1-100calculator gcfis 199 a prime numberprime factorization of 88times table 20x20prime factorization of 949x tableprime factorizations of 72prime factorization of 400 using exponentswhat are the prime factors of 700what is the greatest common factor of 36 and 54greatest common factor of 72 and 108what is the greatest common factor of 96 and 64prime factorization of 92find the prime factorization of 63what is the prime factorization of 825what are the prime factors of 625gcf of 96 and 120what is the lcm of 15common multiples of 2 3 and 4prime factorization for 8525x25 multiplication chartwhat is the gcf of 64 and 88what is the lcm of 3 and 6prime factorization of 115prime factor of 65the prime factorization of 225whats the lcm of 6 and 8prime factorization of 93prime factors of 441multiplication table upto 3088-55gcf of 65common multiples of 9 and 7prime factorization of 600100-55what is the prime factorization of 650what is the prime factorization of 484prime factorization of 432what is the greatest common factor of 128 and 192what is the prime factorization of 400what is the prime factorization of 525prime factorization of 65025x25 multiplication chartmultiplication chart 1-30least common multiples of 8 and 12least common multiples of 6 and 8prime factorizations of 36common multiples of 24 and 36