How to copy data from ASUS ZenFone 4 phone memory?

Question

ASUS

ASUS ZenFone 4, wife clogged the built-in memory of the phone, while the memory card is almost empty. The phone hung, when turned on, the boot logo appears and stops there.
I would do a factory reset, but there she has important files that cannot be lost, and when reset, as far as I know, everything will be erased.
What to do, how can I copy these files?