[tex]16|2\\.\ 8|2\\.\ 4|2\\.\ 2|2\\.\ 1|\\16=\fbox2\cdot\fbox2\cdot\fbox2\cdot\fbox2\\\\48|2\\24|2\\12|2\\.\ 6|2\\.\ 3|3\\.\ 1|\\48=\fbox2\cdot\fbox2\cdot\fbox2\cdot\fbox2\cdot3[/tex]
[tex]therefore\ GCF(16;\ 48)=\fbox2\cdot\fbox2\cdot\fbox2\cdot\fbox2=\boxed{\boxed{16}}[/tex]
