import sys
input = sys.stdin.readline

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

def fact(x):
    xr=round(x**(1/2))+1

    LIST=[]
    for i in range(1,xr+1):
        if x%i==0:
            LIST.append(i)
            LIST.append(x//i)
    return set(LIST)

from functools import lru_cache
@lru_cache(maxsize=None)
def calc(x):
    score=0
    for i in range(N):
        score+=min((x-A[i])%x,(A[i]-x)%x)

    if score<=K:
        return True
    else:
        return False


MAX=max(A)
ANS=0

for i in range(MAX-K,MAX+K+1):
    if i<=0:
        continue
    for f in fact(i):
        if calc(f)==True:
            ANS=max(ANS,f)

print(ANS)