[tex]Identify \ common \ factor : \\\\ 200= \ \boxed{2} \cdot 2 \cdot 2\cdot\boxed{5 }\cdot \boxed{5} \\\\750= \boxed{2} \cdot 3 \cdot\boxed{5}\cdot \boxed{5} \cdot5 \\\\Multiply \ the \ common \ factor : \ 2 \cdot 5\cdot 5 =50 \\ \\ Answer: \ The \ GCF \ of \ 200\ and \750 \ is \ 50.[/tex]