Respuesta :

Notice that:

[tex]\begin{gathered} 38gh^5=2\cdot(19)gh^3(h^2) \\ 40g^4h^3=2(20)gh^3(g^3) \end{gathered}[/tex]

Therefore,

[tex]\text{GCF}(38gh^5,40g^4h^3)=2gh^3[/tex]

Answer: 2gh^3.