# https://yukicoder.me/problems/no/3461

import math

MAX_INT = 10 ** 12



def main():
    N, K = map(int, input().split())
    A = list(map(int , input().split()))
    B = list(map(int , input().split()))

    max_a = max(A)
    divisors_map = [[] for _ in range(max_a + 1)]
    for i in range(N):
        a =A[i]
        sqrt_a = int(math.sqrt(a))

        divisors = []
        for p in range(1, sqrt_a + 1):
            if a % p == 0:
                q = a // p
                divisors.append(p)
                if q != p:
                    divisors.append(q)

        for d in divisors:
            divisors_map[d].append(i)

    border = [MAX_INT for _ in range(N)]    
    ans = MAX_INT * N
    for a in reversed(range(1, max_a + 1)):

        for index in divisors_map[a]:
            x = B[index] % a
            x = (a - x) % a
            if border[index] > x:
                old_x = border[index]
                ans += x - old_x
                border[index] = x
        if ans <= K:
            print(a)
            return



if __name__ == "__main__":
    main()