Hey!
Hope this helps...
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You want to find what EVERY factor's common multiples are...
In this case both 4y^3 and 8y^2 have a common variable factor of y^2
Now, you want to find what the constants in front of the variable's GCF is,
In this case both 4y^3 and 8y^2 have a common constant variable of 4
So in this the Answer is D. 4y^2