The **gcf that 28 and also 42** is the biggest positive integer that divides the number 28 and also 42 without a remainder. Order out, the is the greatest usual factor that 28 and 42. Here you can find the gcf of 28 and 42, along with a complete of three methods for computing it. In addition, we have actually a calculator friend should examine out. Not only can it identify the gcf of 28 and 42, but likewise that of 3 or much more integers including twenty-eight and also forty-two for example. Keep reading to discover everything around the gcf (28,42) and the terms regarded it.

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## What is the GCF the 28 and 42

If you simply want to know *what is the greatest typical factor of 28 and also 42*, it is **14**. Usually, this is composed as**gcf(28,42) = 14**

The gcf the 28 and 42 have the right to be acquired like this:

The determinants of 28 room 28, 14, 7, 4, 2, 1. The components of 42 are 42, 21, 14, 7, 6, 3, 2, 1. The*common*components of 28 and 42 room 14, 7, 2, 1, intersecting the 2 sets above. In the intersection components of 28 ∩ determinants of 42 the

*greatest*element is 14. Therefore, the

**greatest usual factor the 28 and also 42 is 14**.

Taking the over into account you also know just how to uncover *all* the usual factors that 28 and also 42, not just the greatest. In the next section we present you exactly how to calculation the gcf that twenty-eight and also forty-two by means of two an ext methods.

## How to find the GCF of 28 and 42

The greatest usual factor of 28 and 42 have the right to be computed by using the least usual multiple aka lcm the 28 and also 42. This is the simplest approach:

gcf (28,42) = \frac28 \times 42lcm(28,42) = \frac117684 = 14

Alternatively, the gcf of 28 and 42 deserve to be found using the element factorization that 28 and 42:

The element factorization that 28 is: 2 x 2 x 7 The element factorization of 42 is: 2 x 3 x 7 The element factors and multiplicities 28 and also 42 have actually in usual are: 2 x 7 2 x 7 is the gcf that 28 and 42 gcf(28,42) = 14In any type of case, the easiest way to compute the gcf of two numbers favor 28 and also 42 is by making use of our calculator below. Keep in mind that the can also compute the gcf of more than 2 numbers, be separated by a comma. For example, enter 28,42. The calculation is performed automatically.

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## Use the GCF that 28 and also 42

What is the greatest usual factor of 28 and 42 supplied for? Answer: it is helpful for reducing fractions like 28 / 42. Simply divide the nominator and the denominator by the gcf (28,42) to minimize the portion to lowest terms.

\frac2842 = \frac\frac2814\frac4214 = \frac23.

## Properties that GCF of 28 and 42

The most vital properties the the gcf(28,42) are:

Commutative property: gcf(28,42) = gcf(42,28) Associative property: gcf(28,42,n) = gcf(gcf(42,28),n) n\neq 0 \thinspace\in\thinspace\mathbbZThe associativity is particularly useful to gain the gcf of three or an ext numbers; ours calculator renders use of it.

To sum up, the gcf of 28 and 42 is 14. In common notation: gcf (28,42) = 14.

If you have actually been searching for gcf 28 and also 42 or gcf 28 42 then you have concerned the correct page, too. The same is the true if friend typed gcf because that 28 and 42 in her favorite search engine.

Note that you can discover the greatest common factor of numerous integer pairs consisting of twenty-eight / forty-two by making use of the the search kind in the sidebar that this page.

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