A thin wire of specific material stretched taut has a length of $36$ mm and a cross$-$sectional area of $0\mathrm{.}01$ mm$^2.$ The resistance is $1\mathrm{.}5\backslash$Omega $.$ The force applied to the wire is increased so that the length further increases by one third and the cross$-$sectional diameter decreases by $0\mathrm{.}08$ mm$.$ Find the Gauge Factor if the resistivity of material is approximately $5$ x $10\backslash$Omega $-$m$.$