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The gcf of 12y^9 + 3y^4 is 3y since it is a factor of both numbers. 

Hope this helps!
apologiabiology
factor
12y^9=2*2*3*y*y*y*y*y*y*y*y*y
3y^4=3*y*y*y*y

common group is
3*y*y*y*y or 3y^4
if you were to factor it would be 3y^4(4y^5+1)

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