Rental cars are available in all resorts, both from local companies and large international car rental companies. Most of the large ones such as Avis and Hertz have offices in [[Playa del Inglés]] near the motorway.
(http://www. autocarhire. es/locations/gran_canaria_car_hire/) at the airport seems to offer interesting prices on the website, but in reality you are forced to buy a tank full of gasoline and return the car empty ( which is impossible), they force you also to take an additional insurance coverage. This makes the price almost double from what is advertised - so be aware of this.
There are no trains in Gran Canaria. There is an autopista (motorway/ highway) that covers much of the island.