The gcf of 24 and 28 is the largest positive integer that divides the numbers 24 and 28 without a remainder. Spelled out, it is the greatest common factor of 24 and 28. Here you can find the gcf of 24 and 28, along with a total of three methods for computing it. Show
What is the GCF of 24 and 28If you just want to know what is the greatest common factor of 24 and 28, it is 4. Usually, this is written as gcf(24,28) = 4The gcf of 24 and 28 can be obtained like this:
Taking the above into account you also know how to find all the common factors of 24 and 28, not just the greatest. In the next section we show you how to calculate the gcf of twenty-four and twenty-eight by means of two more methods. How to find the GCF of 24 and 28The greatest common factor of 24 and 28 can be computed by using the least common multiple aka lcm of 24 and 28. This is the easiest approach: gcf (24,28) = = 4Alternatively, the gcf of 24 and 28 can be found using the prime factorization of 24 and 28:
In any case, the easiest way to compute the gcf of two numbers like 24 and 28 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 24,28. The calculation is conducted automatically. Similar searched terms on our site also include:
Use of GCF of 24 and 28What is the greatest common factor of 24 and 28 used for? Answer: It is helpful for reducing fractions like 24 / 28. Just divide the nominator as well as the denominator by the gcf (24,28) to reduce the fraction to lowest terms. . Properties of GCF of 24 and 28The most important properties of the gcf(24,28) are:
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 24 and 28 is 4. In common notation: gcf (24,28) = 4. If you have been searching for gcf 24 and 28 or gcf 24 28 then you have come to the correct page, too. The same is the true if you typed gcf for 24 and 28 in your favorite search engine. Note that you can find the greatest common factor of many integer pairs including twenty-four / twenty-eight by using the the search form in the sidebar of this page. Questions and comments related to the gcf of 24 and 28 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 24 and 28 has been useful to you, and make sure to bookmark our site. Thanks for your visit.
Are you on the hunt for the GCF of 24 and 28? Since you're on this page I'd guess so! In this quick guide, we'll walk you through how to calculate the greatest common factor for any numbers you need to check. Let's jump in!
Want to quickly learn or show students how to find the GCF of two or more numbers? Play this very quick and fun video now! First off, if you're in a rush, here's the answer to the question "what is the GCF of 24 and 28?": GCF of 24 and 28 = 4 What is the Greatest Common Factor?Put simply, the GCF of a set of whole numbers is the largest positive integer (i.e whole number and not a decimal) that divides evenly into all of the numbers in the set. It's also commonly known as:
There are a number of different ways to calculate the GCF of a set of numbers depending how many numbers you have and how large they are. For smaller numbers you can simply look at the factors or multiples for each number and find the greatest common multiple of them. For 24 and 28 those factors look like this:
As you can see when you list out the factors of each number, 4 is the greatest number that 24 and 28 divides into. Prime FactorsAs the numbers get larger, or you want to compare multiple numbers at the same time to find the GCF, you can see how listing out all of the factors would become too much. To fix this, you can use prime factors. List out all of the prime factors for each number:
Now that we have the list of prime factors, we need to find any which are common for each number. Looking at the occurences of common prime factors in 24 and 28 we can see that the commonly occuring prime factors are 2 and 2. To calculate the prime factor, we multiply these numbers together: GCF = 2 x 2 = 4 Find the GCF Using Euclid's AlgorithmThe final method for calculating the GCF of 24 and 28 is to use Euclid's algorithm. This is a more complicated way of calculating the greatest common factor and is really only used by GCD calculators. If you want to learn more about the algorithm and perhaps try it yourself, take a look at the Wikipedia page. Hopefully you've learned a little math today and understand how to calculate the GCD of numbers. Grab a pencil and paper and give it a try for yourself. (or just use our GCD calculator - we won't tell anyone!) Cite, Link, or Reference This PageIf you found this content useful in your research, please do us a great favor and use the tool below to make sure you properly reference us wherever you use it. We really appreciate your support!
Greatest Common Factor Calculator / Converter
E-mail This Page To A Friend
You have reached us maybe looking for answers to the questions like: What is the greatest common factor of 24 and 28? or what is the highest common factor (HCF) of 24 and 28? What is the GCF of 24 and 28?The first step to find the gcf of 24 and 28 is to list the factors of each number. The factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24. The factors of 28 are 1, 2, 4, 7, 14 and 28. So, the Greatest Common Factor for these numbers is 4 because it divides all them without a remainder. Read more about Common Factors below. See also:
The first step is to find all divisors of each number. For instance, let us find the gcf(24, 28). In this case we have:
The second step is to analyze which are the common divisors. It is not difficult to see that the 'Greatest Common Factor' or 'Divisor' for 24 and 28 is 4. The GCF is the largest common positive integer that divides all the numbers (24, 28) without a remainder. In the name greatest common divisor, the adjective "greatest" may be replaced by "highest", and the word "divisor" may be replaced by "factor", so that other names include highest common factor (hcf), greatest common measure, among others. So, the GCF is also known as:
Please link to this page! Just right click on the above image, choose copy link address, then past it in your HTML.
While every effort is made to ensure the accuracy of the information provided on this website, neither this website nor its authors are responsible for any errors or omissions. Therefore, the contents of this site are not suitable for any use involving risk to health, finances or property. |