Question

The greatest common factor (GCF) of x^4,x^7,x^8 is____.

Answer 1

that should be right what do you the inkling

Answer 2

The greatest common factor is the biggest number that divides all of them evenly. For this, we have
`x^4, x^7, x^8`. Let's try
`x^4`. Does it divide all three evenly?

`x^4/x^4 = 1\\x^7/x^4 = x^3\\x^8/x^4 = x^4`

Yes, because those are all whole numbers. Is there a bigger number than
`x^4` which divides all three? No, there can't be, because then it wouldn't go into
`x^4` evenly. (It would be too big.)

So
`$$\boxed{x^4}$$` must be the greatest common factor.