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24x y^{2} z      ;      40 x^{3}  y^{3}  z^{2}     ;     64x y^{2}  z^{4}

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 \bold{8xy^2z}