`color(#FFFFFFff)(H)color(#E7E7E7ff)(o)color(#CFCFCFff)(r)color(#B7B7B7ff)(i)color(#9F9F9Fff)(z)color(#878787ff)(o)color(#6F6F6Fff)(n)`

// Horizon
#include <bits/stdc++.h>
using namespace std;

int kq(vector<int> a) {
    int q = a[0];
    for (int i = 1; i < a.size(); i++) {
        q = __gcd(q, a[i]);
    }
    return q;
}

int main() {
    // freopen("DIVISORS.INP", "r", stdin);
    // freopen("DIVISORS.OUT", "w", stdout);
    int t; cin >> t;
    while (t--) {
        int n, d; cin >> n;
        vector<int> a(n);
        for (int i = 0; i < n; i++) cin >> a[i];
        int q = kq(a);
        for (int i = 1; i * i <= q; i++)
            if (q % i == 0) {
                ++d;
                if (i * i != q) ++d;
            }
        cout << d;
    }
}