screenshot from production org.
screenshot from sandbox org.
So, how to deactivate trigger in production? In short, deactivate the same trigger in sandbox and deploy it to production. You can deploy with Ant, Force.com IDE, or simple Change Set.
after inactive trigger deployed to production
The other option is to keep the trigger active, but comment all the content. Although this is not ideal, but you can use the same concept to remove any logic in Apex Class.