What is the greatest common factor of x^4 and x^3
x
x^2
x^3
x^4

The correct option would be x^3

Step-by-step explanation:

The amount that you can take away from both of the numbers would be the correct answer.

The answer would basically be the lowest number that is there

Say you have x^7 and x^4

The GCF would be x^4

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

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