GCF of 38 and 48


The gcf of 38 and 48 is the largest positive integer that divides the numbers 38 and 48 without a remainder. Spelled out, it is the greatest common factor of 38 and 48. Here you can find the gcf of 38 and 48, 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 38 and 48, but also that of three or more integers including thirty-eight and forty-eight for example. Keep reading to learn everything about the gcf (38,48) and the terms related to it.

What is the GCF of 38 and 48

If you just want to know what is the greatest common factor of 38 and 48, it is 2. Usually, this is written as

gcf(38,48) = 2

The gcf of 38 and 48 can be obtained like this:

  • The factors of 38 are 38, 19, 2, 1.
  • The factors of 48 are 48, 24, 16, 12, 8, 6, 4, 3, 2, 1.
  • The common factors of 38 and 48 are 2, 1, intersecting the two sets above.
  • In the intersection factors of 38 ∩ factors of 48 the greatest element is 2.
  • Therefore, the greatest common factor of 38 and 48 is 2.

Taking the above into account you also know how to find all the common factors of 38 and 48, not just the greatest. In the next section we show you how to calculate the gcf of thirty-eight and forty-eight by means of two more methods.

How to find the GCF of 38 and 48

The greatest common factor of 38 and 48 can be computed by using the least common multiple aka lcm of 38 and 48. This is the easiest approach:

gcf (38,48) = $\frac{38 \times 48}{lcm(38,48)} = \frac{1824}{912}$ = 2

Alternatively, the gcf of 38 and 48 can be found using the prime factorization of 38 and 48:

  • The prime factorization of 38 is: 2 x 19
  • The prime factorization of 48 is: 2 x 2 x 2 x 2 x 3
  • The prime factors and multiplicities 38 and 48 have in common are: 2
  • 2 is the gcf of 38 and 48
  • gcf(38,48) = 2

In any case, the easiest way to compute the gcf of two numbers like 38 and 48 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 38,48. The calculation is conducted automatically.

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

Use of GCF of 38 and 48

What is the greatest common factor of 38 and 48 used for? Answer: It is helpful for reducing fractions like 38 / 48. Just divide the nominator as well as the denominator by the gcf (38,48) to reduce the fraction to lowest terms.

$\frac{38}{48} = \frac{\frac{38}{2}}{\frac{48}{2}} = \frac{19}{24}$.

Properties of GCF of 38 and 48

The most important properties of the gcf(38,48) are:

  • Commutative property: gcf(38,48) = gcf(48,38)
  • Associative property: gcf(38,48,n) = gcf(gcf(48,38),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 38 and 48 is 2. In common notation: gcf (38,48) = 2.

If you have been searching for gcf 38 and 48 or gcf 38 48 then you have come to the correct page, too. The same is the true if you typed gcf for 38 and 48 in your favorite search engine.

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

Questions and comments related to the gcf of 38 and 48 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 38 and 48 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 32 and 56prime factorization of 296greatest common factor of 36 and 44prime factorization of 150what is the prime factorization of 201what is the prime factorization of 10common multiples of 4 and 11what is the prime factorization of 95common multiples of 12what are prime factors of 84what is the prime factorization of 293what is the prime factorization of 89common multiples of 12 and 1681 prime factorizationprime factorization of 43what is prime factorization of 72multiplication table chart 1-100prime factorization of 405what is the greatest common factor of 17 and 34prime factorization of 245what is the gcf of 84 and 96prime factorization of 882multiplication table up to 200prime factorization of 484prime factorization 160what is the prime factorization of 118multiplication table up to 256xtablethe prime factorization of 121common multiples of 2 and 6find the prime factorization of 39find the prime factorization of 6325x25 multiplication chartprime factorization 63multiplication chart 1-24what are the prime factors of 700whats gcfwhat is the prime factorization of 875common multiples of 6 and 12express 96 as a product of prime factorswrite 98 as a product of prime factorsprime factorization of 96multiplication table chart 1 30prime factors of 720700 prime factorization100-81fiveeightythreeprime factorization of 160gcf of 14734-24-34prime factorization of 115prime factorization for 55common multiples of 12the prime factorization of 51prime factorization of 440list of prime factors 1 1000hcf of 64gcf and lcm of 36 and 45prime numbers 1-500multiplication table 1-100 printablehcf of 75what is the prime factorization of 252multiplication table of 27prime factorization for 91write 36 as a product of its prime factorsexpress 96 as a product of prime factorseasiest way to find greatest common factorgreatest common factor of 54 and 63prime factorization for 90multiplication table of 42prime factorization of 344common multiples of 16 and 18list of prime factorizations