#include using namespace std; using ll = long long; using ull = unsigned long long; #define rep(i,m,n) for(int i=m; i bool chmin(T& a, T b){ if(a > b){a = b; return true;} return false; } template bool chmax(T& a, T b){ if(a < b){a = b; return true;} return false; } template T gcd(T a, T b){ return a % b ? gcd(b, a % b) : b; } template T lcm(T a, T b){ return a / gcd(a, b) * b; } // Pollard’s Rho の平均計算量: O(n^(1/4)) // Miller-Rabin 素数判定 の計算量: O(k*(log(⁡n))^3) (kは試行回数) // 64bitの安全な (a * b) % m 計算(乗算分割法) ll mod_mul(ll a, ll b, ll m) { ll res = 0; while (b) { if (b & 1) res = (res + a) % m; a = (a + a) % m; b >>= 1; } return res; } // 繰り返し二乗法による (a^b) % m 計算 ll mod_pow(ll a, ll b, ll m) { ll res = 1; while (b) { if (b & 1) res = mod_mul(res, a, m); a = mod_mul(a, a, m); b >>= 1; } return res; } // Miller-Rabin素数判定(確率的) bool is_prime(ll n) { if (n < 2) return false; if (n % 2 == 0) return (n == 2); ll d = n - 1; int s = 0; while (d % 2 == 0) d /= 2, ++s; vector test_bases = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}; // 試行基底 for (ll a : test_bases) { if (a >= n) break; ll x = mod_pow(a, d, n); if (x == 1 || x == n - 1) continue; bool composite = true; for (int r = 0; r < s - 1; ++r) { x = mod_mul(x, x, n); if (x == n - 1) { composite = false; break; } } if (composite) return false; } return true; } // Pollard's Rho 法による因数探索 ll pollard_rho(ll n) { if (n % 2 == 0) return 2; static mt19937_64 rng(random_device{}()); // 乱数生成 uniform_int_distribution dist(1, n - 1); ll x = dist(rng), y = x, c = dist(rng); auto f = [&](ll v) { return (mod_mul(v, v, n) + c) % n; }; while (true) { x = f(x); y = f(f(y)); ll d = gcd(abs(x - y), n); if (d > 1 && d < n) return d; if (d == n) return pollard_rho(n); } } // 素因数分解 void factorize(ll n, vector& factors) { if (n == 1) return; if (is_prime(n)) { factors.push_back(n); return; } ll divisor = pollard_rho(n); factorize(divisor, factors); factorize(n / divisor, factors); } // 素因数列挙 vector prime_factorization(ll n) { vector factors; while (n % 2 == 0) { // 偶数処理 factors.push_back(2); n /= 2; } factorize(n, factors); sort(factors.begin(), factors.end()); return factors; } // 約数列挙 vector divisor_list(ll n) { vector res({1LL}); auto pf = prime_factorization(n); vector> pf2; ll ex = 1LL; for(int i = 1; i < int(pf.size()); ++i){ if(pf[i] != pf[i-1]){ pf2.push_back({ll(pf[i-1]), ex}); ex = 1LL; }else{ ++ex; } } pf2.push_back({ll(pf.back()), ex}); for(auto p : pf2){ int sz = res.size(); for(int i = 0; i < sz; ++i){ ll v = 1LL; for(int j = 0; j < p.second; ++j){ v *= p.first; res.push_back(res[i] * v); } } } // sort(res.begin(), res.end()); return res; } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); ll A, B; cin >> A >> B; int ans = 0; if(A == 1LL){ if(A % B == 0LL) ++ans; }else{ auto d_list = divisor_list(A); for(ll d : d_list) if(d % B == 0LL) ++ans; } cout << ans << endl; return 0; }