[tex]Identify \ common \ factor : \\\\ 50= \ \boxed{1} \cdot \boxed{2} \cdot \boxed{5 } \cdot \boxed{5 }\\\\100= \boxed{1} \cdot\boxed{2} \cdot 2\cdot \boxed{5} \cdot \boxed{5 }\\\\Multiply \ the \ common \ factor :\ 1\cdot 2 \cdot 5 \cdot 5=50 \\ \\ Answer: \ The \ GCF \ of \ 50 \ and \ 100 \ is \ 50 .[/tex]
