GCF of 36 and 25


The gcf of 36 and 25 is the largest positive integer that divides the numbers 36 and 25 without a remainder. Spelled out, it is the greatest common factor of 36 and 25. Here you can find the gcf of 36 and 25, 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 36 and 25, but also that of three or more integers including thirty-six and twenty-five for example. Keep reading to learn everything about the gcf (36,25) and the terms related to it.

What is the GCF of 36 and 25

If you just want to know what is the greatest common factor of 36 and 25, it is 1. Usually, this is written as

gcf(36,25) = 1

The gcf of 36 and 25 can be obtained like this:

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

Taking the above into account you also know how to find all the common factors of 36 and 25, not just the greatest. In the next section we show you how to calculate the gcf of thirty-six and twenty-five by means of two more methods.

How to find the GCF of 36 and 25

The greatest common factor of 36 and 25 can be computed by using the least common multiple aka lcm of 36 and 25. This is the easiest approach:

gcf (36,25) = $\frac{36 \times 25}{lcm(36,25)} = \frac{900}{900}$ = 1

Alternatively, the gcf of 36 and 25 can be found using the prime factorization of 36 and 25:

  • The prime factorization of 36 is: 2 x 2 x 3 x 3
  • The prime factorization of 25 is: 5 x 5
  • The prime factors and multiplicities 36 and 25 have in common are: 1
  • 1 is the gcf of 36 and 25
  • gcf(36,25) = 1

In any case, the easiest way to compute the gcf of two numbers like 36 and 25 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 36,25. The calculation is conducted automatically.

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

Use of GCF of 36 and 25

What is the greatest common factor of 36 and 25 used for? Answer: It is helpful for reducing fractions like 36 / 25. Just divide the nominator as well as the denominator by the gcf (36,25) to reduce the fraction to lowest terms.

$\frac{36}{25} = \frac{\frac{36}{1}}{\frac{25}{1}} = \frac{36}{25}$.

Properties of GCF of 36 and 25

The most important properties of the gcf(36,25) are:

  • Commutative property: gcf(36,25) = gcf(25,36)
  • Associative property: gcf(36,25,n) = gcf(gcf(25,36),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 36 and 25 is 1. In common notation: gcf (36,25) = 1.

If you have been searching for gcf 36 and 25 or gcf 36 25 then you have come to the correct page, too. The same is the true if you typed gcf for 36 and 25 in your favorite search engine.

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

Questions and comments related to the gcf of 36 and 25 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 36 and 25 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


what is the greatest common factor of 64prime factors for 54what is the greatest common factor of 60 and 72what is the prime factorization of 70multiplication chart that goes up to 1000100-81prime factors of 140108 as a product of prime factorswhat is the lcm of 4 and 10prime factorization for 46greatest common factor of 34 and 51what is the greatest common factor of 42 and 4884-35prime factorization of 157prime factor of 98is 211 a prime numberprime factors of 52multiplication chart 1-25greatest common factor of 36 and 44gcf methodgcf of 48 and 64prime and composite numbers 1 200define prime factorisation30x30 multiplication chartwhat is the greatest common factor of 42 and 7025x25 multiplication chartgcf of 64 and 48prime factorization of 2547x tablesexpress 96 as a product of prime factorscommon multiples of 8 and 10times table 30x30what is the lcm of 3 and 6common multiples of 3 and 8prime factorization of 250prime factorization of 289100-84is 44 a prime or composite numberwhat is the lcm of 6 and 3what are common multiples of 3 and 4prime factorization of 58multiplication table up to 200lcm of 1447s times tableswhats the prime factorization of 60what are the prime factors of 132gcf of 75 and 60prime factors of 95the prime factorization of 15127 is a prime number132 prime factorizationprime factor of 180what is the greatest common factor of 64 and 48is 117 a prime or composite numberprime factors of 92what are the prime factors of 105prime factorization for 126prime factorization of 1900prime factors of 49gcf of 49 and 81prime factorization 56multiplication table upto 30what are prime factors of 75prime factorization of 400 using exponentsmultiplication table of 42what are the prime factors of 108find the prime factorization of 52common multiples of 2 and 8what is the greatest common factor of 32 and 56prime factorization 225what is the prime factorization of 176whats gcfprime factor of 99what is the prime factorization of 176