Answer :
[tex]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 .[/tex]