The gravitational field strength at the surface of a certain neutron star is 1.34*10^12 N/kg. What would be the theoretical maximum height of a cylindrical granite column which could support its own weight without crushing when exposed to a field of this magnitude? (density of granite

You evidently left out part of the question with some important numbers. You are going to need the density (rho) and crushing strength of granite (sigmamax). You already have

g = 1.35*10^12 N/kg
Let the unknown max height be H.

(rho)*g*H = sigmamax

Solve for H