There's so much to learn about Reykjavik Airport (KEF-Keflavik Intl.), but there's no need to feel overwhelmed. Before you climb into your rental car, let's get started with the essentials.Once you've grabbed your bags from the arrivals hall of Reykjavik Airport (KEF-Keflavik Intl.), hop behind the wheel of your rental car and drive into Reykjavik. The downtown area is about 22 miles northeast of the terminal.