[latex]32=2^5 \\ 48=2^4 *3 \\ \\ (32;48)= 2^4=16[/latex]

[latex]Identify \ common \ factor : \\\\ 32= \ \boxed{2} \cdot \boxed{2} \cdot \boxed{2} \cdot \boxed{2} \cdot 2 \\\\48= \boxed{2} \cdot \boxed{2} \cdot \boxed{2} \cdot \boxed{2} \cdot 3\\\\Multiply \ the \ common \ factor : \ 2 \cdot 2\cdot 2\cdot 2 =16 \\ \\ Answer: \ The \ GCF \ of \ 32 \ and \ 48 \ is \ 16 .[/latex]