I rely on my apps on my phone as well, caitlinnbb. If I weren't able to get those verification codes, it would keep me tethered to my computer all the time. Are you able to receive standard text and picture messages?
Let's also ensure there aren't any blocks on your line that are preventing those codes from coming to your device. Here is a link that provides steps to adjust any service blocks you may have: https://www.verizonwireless.com/support/knowledge-base-211865/