which two countries started exploring north america soon after christopher columbus's journey to the new world?

After the discovery of the the Lesser Antilles and Cuba by Christopher Columbus, other European countries started exploring North America in an attempt to find "The Indies". John Cabot was commissioned by the England's king Henry VII to explore North America. Also, Portugal commissioned Joao Fernandes Lavrador to explore Greenland besides the Portuguses settlements in South America.

With these discoveries, European empires starting colonizing the north part of America as Spain conquered part of the Caribbian and moved accross South America.

One of them was England, but I'm not sure about the other one.