Get default Billing/Shipping address of logged in customer Magento 2.0
<p>This is my first project using Magento 2. I'm having a hard time getting the default billing/shipping address of the logged in customer to display at the frontend of my custom module.</p>

<p>So far I have this:</p>

<pre><code>//this gets the billing id which is an integer. I'm thinking it must be loaded to get the whole data of the address
$billingId =  $customerSession->getCustomer()->getDefaultBilling();

//just found this in the internet and thought it might be the same as loading an order, but it doesn't work
$address = $objectManager->create('\Magento\Customer\Model\AddressFactory')->load($billingId);
</code></pre>

<p>But the error says:
<code>Call to undefined method Magento\Customer\Model\AddressFactory::load()</code></p>

<p>I think I'm close but I don't know what to do next. Thanks in advance.</p>