Delete dumpstate/logcat with no *#9900# command

Hi - My Moto G is constantly running out of internal memory. The system data file shown in DiskUsage keeps getting bigger and bigger. From what I've read, it's getting bloated by log files, which I can't see unless I root the phone. If I did this, I could delete them. I don't want to root the phone.
The command *#9900#, which only runs on some phones, would also allow me to delete them, but unfortunately it does not work on the Moto G and the only option for me is to factory reset the phone and start from scratch. This works at best for a few weeks and is a pain.

Is there any other way around the problem apart from doing a factory reset and reinstalling my apps, or rooting the phone ?

Thanks !

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Delete dumpstate/logcat with no *#9900# command