Question

Find the greatest common factor of the following monomials44u^6v^4 6u^3v^5

Answer 1

The greatest common factor of the two monomials is;

`2u^3v^4`

Step-by-step explanation:

Given the two monomials.

Let us break them down into their factors to find the greatest common factor;

`44u^6v^4=2*2*11* u* u* u* u* u* u* v* v* v* v`
`6u^3v^5=2*3* u* u* u* v* v* v* v* v`

Writing out the common factors;

`\text{GCF}=2* u* u* u* v* v* v* v=2u^3v^4`

Therefore, the greatest common factor of the two monomials is;

`2u^3v^4`