Question

Which is the greatest common factor of the terms 14c2d and 42c3d?

Answer 1

The greatest common factor is 14c^2d

Explanation:

In order to find the greatest common factor we need to take each piece separately. Start with the constants. We need the largest number that goes into them evenly. 14 goes into both 14 and 42 evenly, so that is our constant.

For c's we look for the least number of them. In this case, the first term just has c^2, so that's what we take.

We do the same with d, which is in both the same amount. So we take d.

This leaves us with 14c^2d

Answer 2

Explanation:

Here, the expressions are -

`14 c^(2) d \\and \\42 c^(3) d`

Now,

`42 c^(3) d`

can be written as-

`14*3c^(2)*cd`

So, we can see that-

the expressions

`14 c^(2) d` and

`14*3c^(2)*cd`

have the following common factors-

`14 c^(2) d`

Hence, the greatest common factor is-

`14 c^(2) d`