import math import sys from itertools import accumulate input = sys.stdin.readline LIMIT = 10**5 + 10 INF = 10**12 def factorize(n): factorized = [] for i in range(1, math.isqrt(n) + 1): if n % i == 0: factorized.append(i) factorized.append(n // i) if math.isqrt(n) ** 2 == n: factorized.pop() return factorized N, K = [int(s) for s in input().split()] A = [int(s) for s in input().split()] B = [int(s) for s in input().split()] need_op = [dict() for _ in range(N)] for i, (a, b) in enumerate(zip(A, B)): op = [] for fac in factorize(a): op.append((fac, (fac - b) % fac)) # min_cnt = INF # for key, val in sorted(op, reverse=True): # min_cnt = min(val, min_cnt) # need_op[i][key] = min_cnt # keys = [list(sorted(need_op[i])) for i in range(N)] exit(1) imos = [0] * LIMIT for i in range(N): for curr, to in zip(keys[i], keys[i][1:]): imos[curr] += need_op[i][to] imos[to] -= need_op[i][to] imos[keys[i][-1]] += INF imos = [0] + list(accumulate(imos)) print(max(i for i in range(LIMIT) if imos[i] <= K))