Two Challenges of Taxman

The computer will lay out the integers from 1 to a maximum which you have entered. You pick one of these numbers; Taxman gets all the remaining factors of that number. If there are no remaining factors of the number chosen, you cannot have it. When there are no remaining factors of any unchosen number, the game is over; and Taxman gets the remaining numbers. If the sum of your chosen numbers is greater than the sum of Taxman, you win.