#include using namespace std; typedef long long ll; typedef pair lpair; const ll MOD = 1e9 + 7; const ll INF = 1e18; #define rep(i,m,n) for(ll i = (m); i < (n); i++) #define rrep(i,m,n) for(ll i = (m); i >= (n); i--) #define print(x) cout << (x) << endl; #define print2(x,y) cout << (x) << " " << (y) << endl; #define printa(x,n) for(ll i = 0; i < n; i++){ cout << (x[i]) << " ";} cout< factor(ll M){ //素因数分解 vector dd; if(M == 1){ dd.push_back(1); return dd; } for(ll i = 2; i*i <= M; i++){ while(M % i == 0){ dd.push_back(i); M /= i; } } if(M != 1) dd.push_back(M); sort(dd.begin(), dd.end()); return dd; } int main(){ cin.tie(0); ios::sync_with_stdio(false); ll N,K; cin >> N >> K; vector dd = factor(N); ll nn = dd.size(); map mp; rep(i,0,nn) mp[dd[i]]++; ll ans = 0, max_val = 0; rep(t,1,N){ vector tt = factor(t); map mp2; rep(i,0,tt.size()) mp2[tt[i]]++; ll k = 0; for(auto &e: mp2){ k += min(e.second, mp[e.first]); } if(k < K) continue; ll v = 1; for(auto &e: mp2){ v *= e.second + 1; } if(max_val < v){ max_val = v; ans = t; } } print(ans); }