#include using namespace std; int sotbl[100010] = {}; vector so; int main(){ int n, k; cin >> n >> k; for(int i = 2;i*i <= n;i++){ if(sotbl[i] == 0){ so.push_back(i); for(int j = i*2;j <= n;j+=i){ sotbl[j] = 1; } } } int i = 0; vector soin; int nn = n; while(n > 1){ if(n % so[i] == 0){ soin.push_back(so[i]); n /= so[i]; }else{ i++; if(i == so.size()){ soin.push_back(n); break; } } } int ans = 0; int ans_yaku = 0; for(int i = 2;i < nn;i++){ vector sonum; int j = 0; n = i; while(n > 1){ if(n % so[j] == 0){ sonum.push_back(so[j]); n /= so[j]; }else{ j++; if(j == so.size()){ sonum.push_back(n); break; } } } int cnt = 0; int x = 0, y = 0; while(x < soin.size() && y < sonum.size()){ if(soin[x] == sonum[y]){ cnt++; x++; y++; }else if(soin[x] > sonum[y]){ y++; }else{ x++; } } if(cnt >= k){ int tmp = 0; int tcnt = 0; int tans = 1; for(int i = 0;i < sonum.size();i++){ if(tmp != sonum[i]){ tans *= tcnt+1; tcnt = 1; tmp = sonum[i]; }else{ tcnt++; } } tans = (tans*(tcnt+1))-1; if(tans > ans_yaku){ ans = i; ans_yaku = tans; } } } cout << ans << endl; return 0; }