Answer:
The greatest common factor of the two monomials is;
[tex]2u^3v^4[/tex]
Explanation:
Given the two monomials.
Let us break them down into their factors to find the greatest common factor;
[tex]44u^6v^4=2\times2\times11\times u\times u\times u\times u\times u\times u\times v\times v\times v\times v[/tex][tex]6u^3v^5=2\times3\times u\times u\times u\times v\times v\times v\times v\times v[/tex]
Writing out the common factors;
[tex]\text{GCF}=2\times u\times u\times u\times v\times v\times v\times v=2u^3v^4[/tex]
Therefore, the greatest common factor of the two monomials is;
[tex]2u^3v^4[/tex]
