Question

Find the greatest common factor of the following mononmials : u^2v^2 , 11u^2v^5

Answer 1

The greatest common factor of the monomials
`u^2v^2` and 1
`1u^2v^5`is
`u^2v^2.`

Step-by-step explanation:

To find the greatest common factor (GCF) of the monomials
`u^2v^2` and
`11u^2v^5,`you have to look for the highest powers of the variables and constants that are factors of both monomials.

The variable parts of the monomials are
`u^2` and
`v^2.` Both monomials have a
`u^2` term, and
`v^2` is part of the
`v^5` term in the second monomial. So,
`u^2v^2` is the GCF of the two monomials.