Please help!!!!!!!!!!!!! What is the Greatest Common Factor (GCF) for the expression below: 5(x+7)^(4) , 35(x+7)^(2) ,15(x+7)^(3) PLEASE ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!…

Question

Please help!!!!!!!!!!!!!

What is the Greatest Common Factor (GCF) for the expression below:

`5(x+7)^(4) , 35(x+7)^(2) ,15(x+7)^(3)`

PLEASE ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

GCF for given expression is:

`GCF = 5(x+7)^2`

Solution:

Given that,

We have to find the greatest common factor

`5(x+7)^4\\\\35(x+7)^2\\\\15(x+7)^3`

First find the GCF of numbers 5, 35 and 15

Find the GCF of 5, 35 and 15

The factors of 5 are: 1, 5

The factors of 15 are: 1, 3, 5, 15

The factors of 35 are: 1, 5, 7, 35

Then the greatest common factor is 5

Now find the GCF of variables

`(x+7)^4\\\\(x+7)^2\\\\(x+7)^3`

Here, the common factor is
`(x+7)^2`

Thus, GCF for given expression is:

`GCF = 5(x+7)^2`