# How to factor out the greatest common factor

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Solve Now  ## Factoring polynomials by taking a common factor (article)

In order to find the greatest common factor of two given numbers, you need to find all the factors of both the numbers and then identify the common factors.
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## Factoring out the GCF Lesson

So, the the greatest common factor of 182664 and 154875 is 177. Now we find the GCF (177, 137688) 137688 - (177 * 777) = 159. 177 - (159 * 1) = 18. 159 - (18 * 8) = 15. 18 - (15 * 1) = 3. 15 - (3 * 5) = 0. So, the greatest common factor of 177 Solve math questions

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## Factoring Monomials

Look for the GCF and then divide every term by the GCF to see what remains. Now, let's take a look at an example that involves more than one variable. Example 2: Factoring Polynomials Same process, you just have to be careful to