L=10**5
f=[[] for i in range(L+1)]
for i in range(1,L+1):
  for j in range(i,L+1,i):
    f[j]+=[i]
n,K=map(int,input().split())
a=list(map(int,input().split()))
b=list(map(int,input().split()))
ok=0
ng=min(a)+1
while ng-ok>1:
  m=(ok+ng)//2
  k=0
  for i in range(n):
    k+=min((-b[i])%v for v in f[a[i]] if v>=m)
  if k<=K:
    ok=m
  else:
    ng=m
print(ok)