## anonymous one year ago What is the Greatest Common Factor of x6 and x4?

1. anonymous

x^6 and x^4

2. anonymous

x x4 x6 x10

3. anonymous

I think its X

4. campbell_st

well think of it this way $x^6 = x^4\times x^2$ this may help you identify the GCF

5. anonymous

well based off of my answer choices i think its X

6. anonymous

but it would be x^2

7. Nnesha

variable with the lowest degree always going to be GCF

8. Nnesha

that's how i remember it ;P

9. anonymous

So is it x?

10. jim_thompson5910

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11. campbell_st

no its not x^2 what looks the same $x^6 = x^4 \times x^2 ~~~and~~~~~~x^4$

12. anonymous

Ahhh so its x^4

13. jim_thompson5910

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14. campbell_st

that's correct

15. anonymous

Thanks jim :D

16. anonymous

and cambell

17. jim_thompson5910

you're welcome

18. Nnesha

common variable with the smallest degree so in this question x^4 ,x^6 variables are common and smallest exponent is 4 so x^4 would be gcf another example $\huge\rm x^{!3} , x^{20} ,x^{90}$ variables are common n alll 3 terms and smallest exponent is 13 so x^13 is gcf :=)