[tex]24x y^{2} z[/tex] ; [tex]40 x^{3} y^{3} z^{2} [/tex] ; [tex]64x y^{2} z^{4} [/tex]
To find their gcf, you need to find the gcf of the constants and similar variables.
The gcf of 24, 40, and 64 is 8.
The gcf of x, x³ , and x is x.
The gcf of y² , y³ , and y² is y².
The gcf of z , z² and z⁴ is z.
Therefore, the gcf of the three expressions is [tex]\bold{8xy^2z}[/tex]