The building that collapsed on Tuesday night had been constructed a few years ago and did not appear to have many occupants. A local media outlet earlier reported that at least 50 people were feared trapped.
About 100 people were involved in the night-long rescue effort, using cranes to clear the rubble, officials said. A dog squad sent in to look for survivors did not find any, they added.
Building collapses in India are more common during the current monsoon season, aggravated by the use of poor building materials, police and residents say.
Greater Noida is one of a cluster of areas that have sprung up around the Indian capital over the last decade, home to scores of residential and commercial blocks, many of them unfinished structures for lack of funds or approvals from the state local authorities.