noun, adverb, noun which may take the genitive case particle 'no'
far away; a distant place; a great distance
Spatial use. Functions as an adverb with verbs of seeing, going, living, etc., and as a noun or の-adjective in phrases such as 遠くに and 遠くの.
遠くに山が見える。
I can see mountains in the distance.
彼は遠くの町に引っ越した。
He moved to a distant town.
adverb
long ago; far back; far into the future
Temporal use, often in somewhat written or formal phrasing, meaning far back in time or extending far ahead into later times.
この寺の歴史は遠く奈良時代にさかのぼる。
The history of this temple goes back as far as the Nara period.
その影響は遠く後世にまで及んだ。
Its influence extended far into later generations.
adverb
by far; far and away; nowhere near
Intensifying adverb for comparison, especially in set-like phrases such as 遠く及ばない, meaning to fall far short, and with verbs such as 上回る.
See also: 遠く及ばない
私の実力は彼には遠く及ばない。
My ability is nowhere near his.
新記録は従来の記録を遠く上回った。
The new record far surpassed the previous one.
The base i-adjective meaning distant or far; 遠く is its adverbial and noun-like form.
Often more emphatic or literary than 遠く, and commonly means far off, far away, or far more in comparisons.
The opposite direction in space or time: nearby, near, or soon.
Derived as the adverbial form of the i-adjective 遠い, meaning distant or far. The kanji 遠 is conventionally associated with distance or remoteness.