#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <string.h> 
char s1[100005],s2[100005];
int next[100005],flag;
void getnext(char * s){
    int k=1,j=0,len=strlen(&s[1]);
    next[k]= 0;
    while(k<=len ){
        if( j== 0|| s[k]== s[j] ){
            ++j, ++k;
            next[k]= j;
        }
        else
            j= next[j];
    }
}
int min(int a,int b){
    return a>b?b:a;
}
int main()
{
    int a,b,i,j;
    scanf("%s",&s1[1]); 
    getnext(s1);
    int len1= strlen(&s1[1]);//注意s[len+1]='\0'
    a= len1- next[len1+1]+1;
	if(len1%a==0)
	    len1/=a;
	else
		a=len1;
    scanf("%s",&s2[1]); 
    memset(next,0,sizeof(next));
    getnext(s2);
    int len2= strlen(&s2[1]);//注意s[len+1]='\0'
    b= len2- next[len2+1]+1;
    if(len2%b==0)
	    len2/=b;
	else
		b=len2;
    
    if(a!=b){
        printf("0\n");
    }
    else{
        for(i=1;i<=a;i++){
            if(s1[i]!=s2[i]){
                printf("0\n");
                break;
            }
        }
        if(i==a+1){
            int tem=min(len1,len2),sum=0;
            for(j=1;j<=tem;j++){
                if(len1%j==0 && len2%j==0)
                    sum++;
            }
            printf("%d\n",sum);
        }
    }
}