[tex]\begin{gathered} 24x^3y^4z^2\Rightarrow2\times2\times2\times3\times x\times x\times x\times y\times y\times y\times y\times z\times z \\ 36xy^3z^3\Rightarrow2\times2\times3\times3\times x\times y\times y\times y\times z\times z\times z \\ 48x^4y^2z^3\Rightarrow2\times2\times2\times2\times3\times x\times x\times x\times x\times y\times y\times z\times z\times z \\ \text{GCF is,} \\ \Rightarrow2\times2\times3\times x\times y\times y\times z\times z=12xy^2z^2 \end{gathered}[/tex]