The monomials given are:
[tex]\begin{gathered} 20x^4y^2z \\ 4x^4y \\ 60x^3y^3 \end{gathered}[/tex]First, we will write each monomial as a product of each individual factors. So,
[tex]\begin{gathered} 20x^4y^2z=2\cdot2\cdot5\cdot x\cdot x\cdot x\cdot x\cdot y\cdot y\cdot z \\ 4x^4y=2\cdot2\cdot x\cdot x\cdot x\cdot x\cdot y \\ 60x^3y^3=2\cdot2\cdot3\cdot5\cdot x\cdot x\cdot x\cdot y\cdot y\cdot y \end{gathered}[/tex]Now, we will circle the factors/numbers that are common to all 3 monomials.
That is,
Thus, we can write the GCF as,
[tex]\begin{gathered} 2\cdot2\cdot x\cdot x\cdot x\cdot y \\ =4x^3y \end{gathered}[/tex]
