#include using namespace std; typedef long long ll; long long gcd(long long a, long long b){ if(b==0) return a; return gcd(b,a%b); } const int MAX = 1000010; const int mod = 1000000007; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++){ fac[i] = fac[i - 1] * i % mod; inv[i] = mod - inv[mod%i] * (mod / i) % mod; finv[i] = finv[i - 1] * inv[i] % mod; } } // 二項係数計算 long long COM(int n, int k){ if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % mod) % mod; } bool isprime(long long int val) { if (val <= 1)return false; for (long long int i = 2; i*i <= val; i++) { if (val%i == 0LL)return false; } return true; } signed main(){ ios::sync_with_stdio(false); cin.tie(0); cout << fixed << setprecision(20); ll n,k; cin>>n>>k; ll g = gcd(n,k); if(k==1){ cout << n << endl; return 0; } if(g==1){ cout << 0 << endl; return 0; } COMinit(); ll ans = 0; int cnt=0; for(ll i=1;i*i<=g;i++){ if(g%i==0){ if(isprime(i)) ans += COM(n/i,k/i),cnt++; ans %= mod; if(i*i!=g && isprime(g/i)) ans += COM(n/(g/i),k/(g/i)), cnt++; ans %= mod; } } ans -= (cnt-1)*COM(n/g,k/g); while(ans<0) ans+=mod; ans %= mod; cout << ans << endl; }