If my green card is denied, will they take my F-1 visa away?

i have the F-1 visa now and i am studying in usa with no problem, but i want to apply for the green card, if they denied my green card, will they take my visa away also for any reason?
Update: sorry, i should have said that my american stepparents want to apply for my green card, but they are afraid that if they denied my green card, they will revoke my F-1 visa.
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