I think grammatically it should be "greatly" instead of "great", no?
Answer from a Native speaker
A more "proper" way of saying this would be "works well for us," but Americans often use "great" in this way, particularly in casual situations. "Greatly" means very much or considerably, so it doesn't match the intended meaning of the sentence. Ex: My new laptop works great! I love it. Ex: You dance great! Have you taken lessons before?
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