array_intersection_key with on array with nested array

gistfile1.php

<?php

// Starting Point
/*array(2){
  // intersection array 1
  array(3) {
    [2]=>
    array(5) {
      ["id"]=>
      string(1) "2"
    }
    [13]=>
    array(5) {
      ["id"]=>
      string(2) "13"
    }
    [16]=>
    array(5) {
      ["id"]=>
      string(2) "16"
    }
  }
  // intersection array 1
  array(1) {
    [2]=>
    array(5) {
      ["id"]=>
      string(1) "2"
    }
  }
}*/

// Intersection fast from one Array
$filter = array();
$i = 0;
// loop trough manufactures and intersect each time the arrays
foreach($manufacturers as $key => $manufacturer){
    $paymentMethods[] = \Payment::getPaymentMethodsByManufacturerId($key);
    if(!empty($i)){
        $filter = array_intersect_key($paymentMethods[$i-1], $paymentMethods[$i]);
    }
    $i++;
}
$this->intersectedPaymentMethods = $filter;


// Intersection Herleitung (Jannic Tschanz)
$paymentMethods = array();
foreach ($manufacturers as $id => $manufacturer) {
    foreach (Payment::getPaymentMethodsByManufacturerId($id) as $id => $paymentMethod) {
        if (isset($paymentMethods[$id])) {
            $paymentMethods[$id] = $paymentMethods[$id]+1;
        } else {
            $paymentMethods[$id] = 1;
        }
    }
}
$intersect = array();
$manufacturersCount = count($manufacturers);
foreach ($paymentMethods as $id => $paymentMethodCount) {
    if ($manufacturersCount == $paymentMethodCount) {
        $intersect[] = $id;
    }
}