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#include<iostream>
#include<fstream>
using namespace std;
int main()
{
long long int n,i,s,r;
long long v[100000];
ifstream f("euclid2.in");
ofstream g("euclid2.out");
f>>n;
for(i=0;i<=n*2-1;i++)
{
f>>v[i];
}
for(i=0;i<=n*2-1;i++)
{
{
for(s=1;s<=v[i];s++)
{
if((v[i]%s==0)&&v[i+1]%s==0)
r=s;
}
}
if(i%2==0)
g<<r<<endl;
}
return 0;
}