#include<bits/stdc++.h>
typedef uint64_t u64;
typedef int64_t i64;
using namespace std;

void solve();

int main(){
  cout<<fixed<<setprecision(15);
  bool is_multicase=false;
  int T=1;
  if(is_multicase){
    cin>>T;
  }
  for(int i=0;i<T;++i){
    solve();
  }
  return 0;
}

template<typename T> void turtle_in(T& n){
  cin>>n;
}

template<typename T,typename U> void turtle_in(pair<T,U>& p){
  turtle_in(p.first);
  turtle_in(p.second);
}

template<typename T> void turtle_in(vector<T>& v){
  for(auto& u:v){
    turtle_in(u);
  }
}

template<typename T> void turtle_out(T& n){
  cout<<n;
}

template<typename T,typename U> void turtle_out(pair<T,U>& p){
  cout<<"{";
  turtle_out(p.first);
  cout<<", ";
  turtle_out(p.second);
  cout<<"}";
}

template<typename T> void turtle_out(vector<T>& v){
  for(int i=0;i<int(v.size());++i){
    turtle_out(v[i]);
    if(i!=v.size()-1){
      cout<<" ";
    }
  }
  cout<<endl;
}

template<typename T> void turtle_out(vector<vector<T>>& v){
  for(int i=0;i<int(v.size());++i){
    turtle_out(v[i]);
  }
}

void scan(){}

template<typename T,class... Args> void scan(T& n,Args&... args){
  turtle_in(n);
  scan(args...);
}

void print(){}

template<typename T,class... Args> void print(T n,Args... args){
  turtle_out(n);
  print(args...);
}

template<typename T> void println(T n){
  turtle_out(n);
  cout<<endl;
}

template<typename T,class... Args> void println(T n,Args... args){
  turtle_out(n);
  cout<<" ";
  println(args...);
}

template<u64 mod> struct modint{
  u64 val;
  modint(i64 val_=0):val((val_%i64(mod)+i64(mod))%i64(mod)){}
  modint operator-(){
    return modint(mod-val);
  }
  modint operator+(modint rhs){
    return modint(*this)+=rhs;
  }
  modint operator-(modint rhs){
    return modint(*this)-=rhs;
  }
  modint operator*(modint rhs){
    return modint(*this)*=rhs;
  }
  modint operator/(modint rhs){
    return modint(*this)/=rhs;
  }
  modint &operator+=(modint rhs){
    val+=rhs.val;
    val-=((val>=mod)?mod:0);
    return (*this);
  }
  modint &operator-=(modint rhs){
    val+=((val<rhs.val)?mod:0);
    val-=rhs.val;
    return (*this);
  }
  modint &operator*=(modint rhs){
    val=val*rhs.val%mod;
    return (*this);
  }
  modint &operator/=(modint rhs){
    u64 ex=mod-2;
    modint now=1;
    while(ex){
      now*=((ex&1)?rhs:1);
      rhs*=rhs,ex>>=1;
    }
    return (*this)*=now;
  }
  bool operator==(modint rhs){
    return val==rhs.val;
  }
  bool operator!=(modint rhs){
    return val!=rhs.val;
  }
  friend std::ostream &operator<<(std::ostream& os,modint x){
    return os<<(x.val);
  }
  friend std::istream &operator>>(std::istream& is,modint& x){
    u64 t;
    is>>t,x=t;
    return is;
  }
};

template<typename T,typename U> T power(T a,U n){
  T res=1;
  while(n>0){
    if(n%2==1){
      res*=a;
    }
    a*=a;
    n/=2;
  }
  return res;
}

template<typename T> struct genrand{
  uniform_int_distribution<T> gen;
  mt19937 engine;
  genrand(T a,T b):gen(a,b){
    random_device seed_gen;
    engine.seed(seed_gen());
  }
  T operator()(){
    return gen(engine);
  }
};

template<typename T> struct comb{
  vector<T> dat,idat;
  comb(int mx=3000000):dat(mx+1,1),idat(mx+1,1){
    for(int i=1;i<=mx;++i){
      dat[i]=dat[i-1]*i;
    }
    idat[mx]/=dat[mx];
    for(int i=mx;i>0;--i){
      idat[i-1]=idat[i]*i;
    }
  }
  T operator()(int n,int k){
    if(n<0||k<0||n<k){
      return 0;
    }
    return dat[n]*idat[k]*idat[n-k];
  }
};

template<typename T> struct matrix{
  vector<vector<T>> val;
  int height,width;
  matrix(int H,int W,T init=0):val(H,vector<T> (W,init)),height(H),width(W){}
  vector<T> &operator[](int i){
    return val[i];
  }
  matrix operator+(matrix rhs){
    return matrix(*this)+=rhs;
  }
  matrix operator*(matrix rhs){
    return matrix(*this)*=rhs;
  }
  matrix operator+=(matrix rhs){
    for(int i=0;i<rhs.height;++i){
      for(int j=0;j<rhs.width;++j){
        (*this)[i][j]+=rhs[i][j];
      }
    }
    return (*this);
  }
  matrix operator*=(matrix rhs){
    matrix<T> res(height,rhs.width,0);
    for(int i=0;i<this->height;++i){
      for(int j=0;j<rhs.width;++j){
        for(int k=0;k<this->width;++k){
          res[i][j]+=(*this)[i][k]*rhs[k][j];
        }
      }
    }
    return (*this)=res;
  }
  matrix identity(int n){
    matrix res(n,n);
    for(int i=0;i<n;++i){
      res[i][i]=1;
    }
    return res;
  }
  matrix mat_pow(i64 k){
    int n=(*this).height;
    matrix res=identity(n),now=(*this);
    while(k>0){
      if(k%2==1){
        res*=now;
      }
      now*=now;
      k/=2;
    }
    return (*this)=res;
  }
};

vector<i64> enum_divs(i64 n){
  vector<i64> res;
  for(i64 i=1;i*i<=n;++i){
    if(n%i==0){
      res.emplace_back(i);
      if(i*i!=n){
        res.emplace_back(n/i);
      }
    }
  }
  sort(res.begin(),res.end());
  return res;
}

void solve(){
  constexpr u64 mod=1000000007;
  typedef modint<mod> mint;
  i64 N,K;
  scan(N,K);
  vector<i64> A(N);
  scan(A);
  vector<i64> divs=enum_divs(K);
  map<i64,i64> mp;
  i64 M=divs.size();
  for(int i=0;i<M;++i){
    mp[divs[i]]=i;
  }
  vector<i64> cnt(M);
  for(auto v:A){
    cnt[mp[gcd(v,K)]]++;
  }
  vector<vector<mint>> dp(M+1,vector<mint> (M));
  comb<mint> C;
  dp[0][0]=1;
  for(int i=0;i<M;++i){
    i64 now=1;
    for(int j=0;j<=cnt[i];++j){
      for(int k=0;k<M;++k){
        dp[i+1][mp[gcd(divs[k]*now,K)]]+=dp[i][k]*C(cnt[i],j);
      }
      now=gcd(now*divs[i],K);
    }
  }
  println(dp[M][M-1]);
}