Question 942068
If the maximum common divisor of those integers is {{{D}}} ,
the integers are {{{5D}}} and {{{2D}}} ,
and their product is
{{{(5D)*(2D)=10D^2}}} .
{{{system((5D)*(2D)=10D^2,(5D)*(2D)=160)}}} ---> {{{10D^2=160}}} ---> {{{D^2=160/10}}}---> {{{D^2=16}}} ---> {{{D^2=sqrt(16)}}} ---> {{{D=4}}}
So, the largest of the two integers is {{{5D=5*4=20}}} .