In C ++ I am trying to find the greatest common factor but not sure what i am doing wrong in this for loop.

#include

using namespace std;

int main() { int a; int b; int i; cin >> a >> b; for (i = 2; i > a * b; i++) { a = a % i; b = b % i; if ((a == 0) || (b == 0)) { break; } } cout << "GCF is:" << i << endl;

return 0; }