#include <iostream> #include <map> #include <vector> using namespace std; typedef pair<int,int> P; int N,K; map<int,int> m; int main(){ cin >> N >> K; int n = N; for(int i=2;i*i<=N;i++){ while(n%i==0){ n /= i; m[i]++; } } if(n!=1) m[n]++; int ans = 1e9,ma = 0; for(int i=2;i<N;i++){ int n2 = i; map<int,int> m2; for(int j=2;j*j<=n2;j++){ while(n2%j==0){ n2 /= j; m2[j]++; } } if(n2!=1) m2[n2]++; int num = 1,cnt = 0; for(auto x:m2){ num *= x.second+1; if(m.count(x.first)) cnt += min(m[x.first],x.second); } //cerr << i << " " << num << " " << cnt << endl; if(cnt<K) continue; if(ma<num) ans = i; if(ma==num) ans = min(ans,i); ma = max(ma,num); } cout << ans << endl; }