If $P(x)=24x^5-36x^4+12x^3$, and $P(x)$ can be written in the form $A{x}^k(B{x}^2+Cx+D)$, where $A,B,C,D$ are integers and $A$ is the greatest common factor of the coefficients, what is the value of $A+k+B+C+D$?