N,K = map(int,input().split())
A = list(map(int,input().split()))

divs = set()
for a in A:
    m = 1
    while m*m <= a:
        if N%m==0:
            divs.add(m)
            divs.add(a//m)
        m += 1

cands = set()
for d in divs:
    for i in range(-K,K+1):
        if d+i > 0:
            cands.add(d+i)

for g in sorted(cands, reverse=True):
    cnt = 0
    for a in A:
        tmp = -a%g
        if a > g:
            tmp = min(tmp, a%g)
        cnt += tmp
        if cnt > K: break
    else:
        exit(print(g))