Old English brad "wide, not narrow," also "flat, open, extended," from Proto-Germanic *braidi- (source also of Old Frisian bred, Old Norse breiðr, Dutch breed, German breit, Gothic brouþs), which is of unknown origin. Not found outside Germanic languages. There is no clear distinction in sense from wide. Of day or daylight, late 14c.; of speech or accents, 1530s. Related: Broadly; broadness.
"woven fabric, pliable stuff made of intertexture of threads or fibers," Old English claþ "a cloth, sail, cloth covering, woven or felted material to wrap around one," hence, also, "garment," from Proto-Germanic *kalithaz (source also of Old Frisian klath "cloth," Middle Dutch cleet, Dutch kleed "garment, dress," Middle High German kleit, German Kleid "garment"), which is of obscure origin, perhaps a substratum word.
As an adjective, "made or consisting of cloth," from 1590s. Meaning "distinctive clothing worn by some group" (servants of one house, men of some profession or trade) is from 1590s, hence The cloth "the clerical profession" (1701).
<a href="https://www.etymonline.com/word/broadcloth">Etymology of broadcloth by etymonline</a>
Harper, D. (n.d.). Etymology of broadcloth. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/broadcloth