Question 731286
first, the prime factorization:

{{{9x^2  =3*3*x*x}}}
{{{5xy   =5*x*y}}}
{{{3xy^2 =3*x*y*y}}}

{{{GCF}}} is the highest number that divides exactly into two or more numbers.
If you find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.

so, your common factors are:

{{{9x^2  =3*3*highlight(x)*x}}}
{{{5xy   =5*highlight(x)*y}}}
{{{3xy^2 =3*highlight(x)*y*y}}}

your {{{GCF}}} is:

{{{GCF =highlight(x)}}}


{{{LCM}}} is the least common multiple of a set of numbers is the lowest positive number that is a multiple of every number in that set.

{{{9x^2  =highlight(3)*highlight(3)*highlight(x)*highlight(x)}}}
{{{5xy   =5*x*y}}}
{{{3xy^2 =3*x*highlight(y)*highlight(y)}}}

so, your {{{LCM}}} is:

{{{LCM =highlight(3)*highlight(3)*highlight(x)*highlight(x)highlight(y)*highlight(y)}}}

{{{LCM =highlight(9x^2y^2)}}}