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In this case, there don't seem to be any.

sage: L = [153593241046674892978867376676801703195333499261944069748317,595581987651106688365284842778515858399666547859870373300567,456451496401875224148239517183071489325356803521953515331953,732521324063413291774595255009269986704084399047286433357607,697998237255232517803133139640937207091669333334886072165381,665759389457622825753076124570026166878147870317677657070179,1259985415634532155096901933248348760395037298806289273584121,476063424836313254692044012215359579492944897779738635204933,176294427788887166758409622538881387638478405478915857712513,62438334806032841411208819703508997562716700552371135112697,1155831644188436440125346091174944695123678746779608256372229,592339248856319601455928821705423109007342115448431777433343]
sage: gcd(L)
1

In general, I guess you could do this?

sage: M = [22200,550, 6600,22300]
sage: gcd(M)
50
sage: divisors(gcd(M))
[1, 2, 5, 10, 25, 50]

Maybe I'm misunderstanding the question.