1 #include<stdio.h>

 2 #include<string.h>

 3 #include<iostream>

 4 #include<algorithm>

 5 #include<queue>

 6 #include<map>

 7 #include<vector>

 8 #include<math.h>

 9 #define mem(a,x) memset(a,x,sizeof(a))

10 using namespace std;

11 typedef long long ll;

12 const int maxn=1005;

13 const int mod=26;

14 const int INF=0x3f3f3f3f;

15 const int Times = 10;

16 const int N = 5500;

17 ll gcd(ll a,ll b)

18 {

19     return b?gcd(b,a%b):a;

20 }

21 ll v[400005];

22 int main()

23 {

24     ll n;

25     scanf("%I64d",&n);

26     ll ans,v;

27     scanf("%I64d",&ans);

28     n--;

29     while(n--)

30     {

31         scanf("%I64d",&v);

32         ans=gcd(ans,v);

33     }

34     ll s=0;

35     for(ll i=1; i<=sqrt(ans); i++)

36     {

37         if(ans%i==0)

38         {

39             if(ans/i==i)

40             {

41                 s--;

42             }

43             s+=2;

44         }

45     }

46     printf("%I64d\n",s);

47     return 0;

48 }