You should not have to do that every time you log in unless you are using different hardware each time you log in, or you are using something that is confusing Apple into thinking you are doing that. Once you have verified once that it is really you using a particular item of hardware, it should be recognized as a trusted device. Clearly getting down to the source of this problem would require a detailed analysis of your logging in and you may wish to involve Apple in the troubleshooting.
Refer to this document for ways to contact Apple --> Choose your country or region - Official Apple Support
Select your country (also look for "other" regions), then a product. If you don't see one that handles your issue then keep experimenting with selections until you reach one that gets you a chat session or a telephone call and get the representative to redirect you.
or:
Contact Apple for support and service by telephone --> Contact Apple for support and service - Apple Support
You mention wanting to disabled two factor authentication. For some background I suggest you read the document: "Two-factor authentication for Apple ID" - Two-factor authentication for Apple ID - Apple Support
Several years ago Apple transitioned to using two-factor authentication for additional account security. Accounts created since that time automatically use two-factor authentication and this cannot be disabled.
Some people have older accounts from before two-factor authentication was mandatory on new accounts. Apple encourages those users to transition to two-factor authentication when signing in on their accounts because without it "your account is less secure and you can't use features that require a higher level of security." Those owners of older accounts who just activated two-factor authentication have two weeks to change their minds and return to older security settings.
If you have an older account, recently activated two factor authentication, and you're within the two week period for turning it off again, you should check for an email from Apple for a way to do this. If you don't see one about this, look in your junk mail folder.
