GCF of 36 and 49


The gcf of 36 and 49 is the largest positive integer that divides the numbers 36 and 49 without a remainder. Spelled out, it is the greatest common factor of 36 and 49. Here you can find the gcf of 36 and 49, 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 49, but also that of three or more integers including thirty-six and forty-nine for example. Keep reading to learn everything about the gcf (36,49) and the terms related to it.

What is the GCF of 36 and 49

If you just want to know what is the greatest common factor of 36 and 49, it is 1. Usually, this is written as

gcf(36,49) = 1

The gcf of 36 and 49 can be obtained like this:

  • The factors of 36 are 36, 18, 12, 9, 6, 4, 3, 2, 1.
  • The factors of 49 are 49, 7, 1.
  • The common factors of 36 and 49 are 1, intersecting the two sets above.
  • In the intersection factors of 36 ∩ factors of 49 the greatest element is 1.
  • Therefore, the greatest common factor of 36 and 49 is 1.

Taking the above into account you also know how to find all the common factors of 36 and 49, not just the greatest. In the next section we show you how to calculate the gcf of thirty-six and forty-nine by means of two more methods.

How to find the GCF of 36 and 49

The greatest common factor of 36 and 49 can be computed by using the least common multiple aka lcm of 36 and 49. This is the easiest approach:

gcf (36,49) = $\frac{36 \times 49}{lcm(36,49)} = \frac{1764}{1764}$ = 1

Alternatively, the gcf of 36 and 49 can be found using the prime factorization of 36 and 49:

  • The prime factorization of 36 is: 2 x 2 x 3 x 3
  • The prime factorization of 49 is: 7 x 7
  • The prime factors and multiplicities 36 and 49 have in common are: 1
  • 1 is the gcf of 36 and 49
  • gcf(36,49) = 1

In any case, the easiest way to compute the gcf of two numbers like 36 and 49 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 36,49. The calculation is conducted automatically.

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

Use of GCF of 36 and 49

What is the greatest common factor of 36 and 49 used for? Answer: It is helpful for reducing fractions like 36 / 49. Just divide the nominator as well as the denominator by the gcf (36,49) to reduce the fraction to lowest terms.

$\frac{36}{49} = \frac{\frac{36}{1}}{\frac{49}{1}} = \frac{36}{49}$.

Properties of GCF of 36 and 49

The most important properties of the gcf(36,49) are:

  • Commutative property: gcf(36,49) = gcf(49,36)
  • Associative property: gcf(36,49,n) = gcf(gcf(49,36),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 49 is 1. In common notation: gcf (36,49) = 1.

If you have been searching for gcf 36 and 49 or gcf 36 49 then you have come to the correct page, too. The same is the true if you typed gcf for 36 and 49 in your favorite search engine.

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

Questions and comments related to the gcf of 36 and 49 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 49 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 factorization for 135the prime factorization of 105write each number as a product of prime factorsmultiplication table up to 200multiplication 30x30write the prime factorization of 50prime factorization of 198what is the prime factors of 90prime factorizations of 36what is the prime factorization of 102what is the prime factorization of 79greatest factor calculatorwhat is the prime factorization of 828what is the prime factorization of 61greatest prime factor of 100what is the least common multiple of 48 and 72prime factors of 88prime factorization 68multiplication table 35x35gcf of 3prime factorization 39what is the gcf of 9lcm of 180factor tree for 144147 prime numbercommon multiples of 2 3 4prime factorization 64what is the prime factorization of 174what is the prime factorization of 95the prime factorization of 126prime factorization of 52what is the lowest common multiple of 60 and 96common multiples of 10what is the lcm of 2 and 10what is the gcf of 84126 prime factorizationis thirteen a prime numberprime factors of 1225what is the prime factorization of 560what is the greatest common factor of 84gcf methodis 50 a prime or composite numberwhat is the greatest common factor of 48 and 64prime factorization for 108prime factorization of 405what is the prime factorization of 72common multiples of 9 and 7prime factorization of 52gcf of 17 and 85common multiples of 4multiplication table 1 1000 printableprime factors of 73581 prime factorizationprime factor of 54what is the prime factorization of 101what is the lcm of 10 and 5prime factorization 72the prime factorization of 52prime factorization of 160multiplication table 30 x 30prime factorization for 80what is the gcf of 100common multiples of 6 and 12multiplication table up to 1000prime factorization of 441what is the prime factorization of 91prime factorization of 1000what is the gcf of 84prime factorization of 7749 prime factorizationprime factorization of 136common multiples of 8 and 3prime factorization of 66what is the greatest common factor of 84 and 96a multiplication chart that goes to 1000what is the prime factorization of 540multiplication table 1 30 printable