After doing a factory reset and configuring user id and password are you sure that you have saved the configuration? I am wondering about the possibility that the switch rebooted for some reason (issue with power, etc) and has lost your user id and password.
What kind of switch is this? When you experience the problem logging in does the switch still work? Is the switch connected to some upstream device (router or other switch)? If so are devices connected on this switch able to communicate with the upstream device? Do you have devices in more than one vlan? And if so are connected devices in different vlans able to communicate?
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