Question

Find the greatest common factor of the following monomials35w^6 14w^5 10w

Answer 1

As per given by the question,

There are given that the monimials,

$35w^6,14w^5,\text{ 10w}$

Now,

Find the common factor of

So,

$\begin{gathered} 35w^6=5\times7\times w\times w\times w\times w\times w\times w \\ 14w^5=2\times7\times w\times w\times w\times w\times w \\ 10w=2\times5\times w \end{gathered}$

Now,

The greatest common factor is,

For the greatest common factor, there are given w in all the terms and 7 is common for first and secon and 5 common for first and third.

So, for greatest common factor, value matched in all the terms.

Then,

Hence, the greatest common factor is w.