#include<bits/stdc++.h>
using namespace std;

#define ll long long
#define ull unsigned long long
#define ld  long double

using LL = long long; using ULL = unsigned long long;
using VI = vector<int>; using VVI = vector<VI>; using VVVI = vector<VVI>;
using VL = vector<LL>; using VVL = vector<VL>; using VVVL = vector<VVL>;
using VB = vector<bool>; using VVB = vector<VB>; using VVVB = vector<VVB>;
using VD = vector<double>; using VVD = vector<VD>; using VVVD = vector<VVD>;
using VC = vector<char>; using VS = vector<string>; using VVC = vector<VC>;
using PII = pair<int,int>; using PLL = pair<LL,LL>; using PDD = pair<double,double>; using PIL = pair<int,LL>;
using MII = map<int,int>; using MLL = map<LL,LL>;
using SI = set<int>; using SL = set<LL>;
using MSI = multiset<int>; using MSL = multiset<LL>;
template<class T> using MAXPQ = priority_queue<T>;
template<class T> using MINPQ = priority_queue< T, vector<T>, greater<T> >;

const ll MOD = 1000000007;
const ll MOD2 = 998244353;
const ll INF = 1LL << 60;
#define PI  3.14159265358979323846

#define FOR(i, a, b) for(int i = (a); i < (b); ++i)
#define REP(i, n) FOR(i, 0, n)
#define EACH(e, v) for(auto &e : v)
#define RITR(it, v) for(auto it = (v).rbegin(); it != (v).rend(); ++it)
#define ALL(v) v.begin(),v.end()

vector<ll> x8={1,1,1,0,0,-1,-1,-1},y8={1,0,-1,1,-1,1,0,-1};
int dx4[4]={1,-1,0,0}, dy4[4]={0,0,1,-1};

/*
memo
-uf,RMQ(segtree),BIT,BIT2,SegTree,SegTreeLazy
-isprime,Eratosthenes,gcdlcm,factorize,divisors,modpow,moddiv
nCr(+modnCr,inverse,extend_euclid.powmod),tobaseB,tobase10
-dijkstra,Floyd,bellmanford,sccd,topological,treediamiter
-compress1,compress2,rotate90

-co,ci,fo1,fo2,fo3,fo4
-bitsearch,binaryserach
-bfs
-SegTreedec,SegTreeLazydec
*/



int main(){
    cin.tie(0);
    ios_base::sync_with_stdio(0);
    ll N,K; cin >> N >> K;
    VL a(N); for(ll i = 0; i < N; i++) cin >> a[i];
    VL b(N); for(ll i = 0; i < N; i++) cin >> b[i];
    //cout << -1 << endl;
    VVL div(N);
    ll M = INF;
    for(ll i = 0; i < N; i++){
        for(ll j = 1; j*j <= a[i]; j++){
            if(a[i] % j == 0){
                ll d = a[i]/j;
                div[i].push_back(j);
                if(j!=d) div[i].push_back(d);
            }
        }
        sort(ALL(div[i]));
        M = min(M,div[i].back());
    }
    //cout << -1 << endl;
    auto ok = [&](ll X){
        ll res = 0;
        for(ll i = 0; i < N; i++){
            ll need = 1e10+1;
            for(auto v : div[i]){
                if(v >= X){
                    ll p = b[i] % v;
                    need = min((v-p)%v,need);
                }
            }
            res += need;
        }
        return res <= K;
    };

    ll l = 0, r = M+1;
    while(r-l>1){
        ll m = (l+r)/2;
        if(ok(m)) l = m;
        else r = m;
    }

    cout << l << '\n';
}