static int maxCommonFactors ( int a , int b ) {
  int __gcd = gcd ( a , b ) ;
  int ans = 1 ;
  for ( int i = 2 ;
  i * i <= __gcd ;
  i ++ ) {
    if ( __gcd % i == 0 ) {
      ans ++ ;
      while ( __gcd % i == 0 ) __gcd /= i ;
    }
  }
  if ( __gcd != 1 ) ans ++ ;
  return ans ;
}

static int maxCommonFactors ( int a , int b ) { int __gcd = gcd ( a , b ) ; int ans = 1 ; for ( int i = 2 ; i * i <= __gcd ; i ++ ) { if ( __gcd % i == 0 ) { ans ++ ; while ( __gcd % i == 0 ) __gcd /= i ; } } if ( __gcd != 1 ) ans ++ ; return ans ; }
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