GCF of 2 and 3


The gcf of 2 and 3 is the largest positive integer that divides the numbers 2 and 3 without a remainder. Spelled out, it is the greatest common factor of 2 and 3. Here you can find the gcf of 2 and 3, 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 2 and 3, but also that of three or more integers including two and three for example. Keep reading to learn everything about the gcf (2,3) and the terms related to it.

What is the GCF of 2 and 3

If you just want to know what is the greatest common factor of 2 and 3, it is 1. Usually, this is written as

gcf(2,3) = 1

The gcf of 2 and 3 can be obtained like this:

  • The factors of 2 are 2, 1.
  • The factors of 3 are 3, 1.
  • The common factors of 2 and 3 are 1, intersecting the two sets above.
  • In the intersection factors of 2 ∩ factors of 3 the greatest element is 1.
  • Therefore, the greatest common factor of 2 and 3 is 1.

Taking the above into account you also know how to find all the common factors of 2 and 3, not just the greatest. In the next section we show you how to calculate the gcf of two and three by means of two more methods.

How to find the GCF of 2 and 3

The greatest common factor of 2 and 3 can be computed by using the least common multiple aka lcm of 2 and 3. This is the easiest approach:

gcf (2,3) = $\frac{2 \times 3}{lcm(2,3)} = \frac{6}{6}$ = 1

Alternatively, the gcf of 2 and 3 can be found using the prime factorization of 2 and 3:

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

In any case, the easiest way to compute the gcf of two numbers like 2 and 3 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 2,3. The calculation is conducted automatically.

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

Use of GCF of 2 and 3

What is the greatest common factor of 2 and 3 used for? Answer: It is helpful for reducing fractions like 2 / 3. Just divide the nominator as well as the denominator by the gcf (2,3) to reduce the fraction to lowest terms.

$\frac{2}{3} = \frac{\frac{2}{1}}{\frac{3}{1}} = \frac{2}{3}$.

Properties of GCF of 2 and 3

The most important properties of the gcf(2,3) are:

  • Commutative property: gcf(2,3) = gcf(3,2)
  • Associative property: gcf(2,3,n) = gcf(gcf(3,2),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 2 and 3 is 1. In common notation: gcf (2,3) = 1.

If you have been searching for gcf 2 and 3 or gcf 2 3 then you have come to the correct page, too. The same is the true if you typed gcf for 2 and 3 in your favorite search engine.

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

Questions and comments related to the gcf of 2 and 3 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 2 and 3 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


the prime factorization of 58prime factorization 135what are prime factors of 75prime factorization of 148what is the lcm of 4 and 1044 as a product of prime factorsprime factorization for 84greatest common factor of 121common multiples of 2 and 7multiplication table 0-100prime factorization of 900whats the lcm of 6 and 812x multiplication tablewrite 54 as a product of prime factorsprime factorization 225what is the prime factors of 90what is the prime factorization of 46multiplication 30x30what is the factor tree of 63is 67 a prime or composite numberprime factorization 110prime factorization of 1687x tablesgcf of 45 and 727s times tablesgreatest common factor of 56 and 42is 69 a prime or composite numberis 247 a prime numberwhat is the gcf of 84is 621 a prime numberprime factorization of 420whats prime factorizationprime factor of 102prime factorization of 46251 prime factorizationcommon multiples of 2 and 6prime factors of 92common multiples of 7 and 8prime factorization 189multiplication table 1-16prime factor of 75prime factorization 67prime factorization of 152easiest way to find the greatest common factoris 162 a prime numbergcf of 56 and 63multiplication tables upto 20 pdffactor tree for 78what is the gcf of 4the prime factorization of 63gcf of 81 and 48prime factors of 240prime factorization of 310prime factorization 343what is the prime factorization of 117is 163 a prime numberwhat is the prime factor of 120prime factorization of 528prime factorization for 38find the prime factorization of 52prime factorization of 196prime factorization 125what is the gcf of 63what is the prime factorization for 44what is the greatest common factor of 17 and 34prime factors of 46296 factor treemultiplication chart 200is 67 a prime or composite numberexpress 126 as a product of prime numberswhat is the prime factorization of 25556 as a product of prime factors25x25 multiplication chartprime factorization of 38what is the greatest common factor of 70 and 42what is the greatest common factor of 72 and 45is 21 a prime number or a composite number4x times tableswhat is the prime factorization of 198