[tex]\begin{array}{c|c}48&2\\24&2\\12&2\\6&2\\3&3\\1\end{array}\\\\48=\boxed{2}\cdot2\cdot2\cdot2\cdot3\\\\\begin{array}{c|c}38&2\\19&19\\1\end{array}\\\\38=\boxed{2}\cdot19\\\\GCF(48,\ 38)=\boxed2[/tex]
