We need to find the GCF of
[tex]\begin{gathered} 40x^5 \\ and \\ 50x^3 \end{gathered}[/tex]Let's break apart the two expressions:
[tex]\begin{gathered} 40x^5=2\cdot2\cdot2\cdot5\cdot x\cdot x\cdot x\cdot x\cdot x \\ 50x^3=2\cdot5\cdot5\cdot x\cdot x\cdot x \end{gathered}[/tex]The common factors of both the terms are 2 * 5 * x * x * x, which is
[tex]10x^3[/tex]Answer[tex]10x^3[/tex]