Faraway means distant, remote. Faraway may also mean mentally absent, dreamy. Faraway is an adjective, it appears before the noun it modifies. Faraway comes into the English language in 1816 as a compound word, occasionally faraway is hyphenated as far-away.
Far away means remotely, afar. Far away is an adverb phrase that appears after the item that is being modified as two words. Far comes from the Old English feor meaning to a great distance, long ago, and the Old High German fer. Away is a word that comes to us from the Old English aweg.
Down memory lane: Holding Karachi in their hearts in faraway Skardu (The Express Tribune)
Medical robot in Saskatchewan is connecting doctors to faraway patients (The Winnipeg Free Press)
Most of all, she was remarkable for an intelligent writing style that worked just as well for political junkies as for those folks who viewed Washington, D.C., the same way they might ponder the planet Jupiter — as a strange, faraway place with an atmosphere hostile to mere mortals. (The SEattle Times)
Faraway strangers help to pay medical costs for sick Kansas girl (The Wichita Eagle)
NATO deepening cooperation with Ukraine, but membership far away (The Kyiv Post)
Because the galaxy is so far away, the cataclysm might well have already happened more than 3 billion years ago, but the news still won’t reach us for another 100,000 years or so. (The Rand Daily Mail)
Tudor fisherman cast their nets as far away as CANADA: Research shows 16th century ships were travelling 2,000 miles for catch (The Daily Mail)
Police from as far away as Joliet and Chicago were assisting in the search, along with state and federal authorities. (The Chicago Tribune)