Question 170867
Take note that each term has a "v" in it. Also, since the smallest exponent for "v" is 5, this means that the variable portion of the GCF is {{{v^5}}}



Now let's find the GCF of the numbers 8, 2, and -10 (the coefficients). Since the largest number that can divide into ALL of the them is 2, this means that the coefficient of the GCF is 2.


So the GCF is {{{2v^5}}} 



Now factor out the GCF {{{2v^5}}} from {{{8v^6 + 2v^5 - 10v^9}}} to get {{{2v^5(4v + 1 - 5v^4)}}}