What is the greatest common factor of 200 and 140
\(200|2 \\ 100|2 \\ 50 \ |2 \\ 25 \ |5 \\ 5 \ \ |5 \\ 1 \\\\200=2^3*5^2 \\\\ 140|2 \\70 \ |2 \\ 35 \ |5 \\ 7 \ \ |7 \\1 \\\\ 140=2^2*5*7 \\\\ G.C.F(200;140)=2^2*5=20\)
The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, and 200 .The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, and 140 .The factors common to both are 1, 2, 4, 5, 10, and 20 . The greatest one of those is 20 .
