When plugging in this printer it defaults to using the Smart Install which means it mounts a drive with the needed drivers to install the printer.
The problem with this is the newer version of Windows 10 blocks the install. To get around this download the Smart Control Utility.
http://ftp.hp.com/pub/softlib/software12/COL53550/lj-129224-1/LJP1100_P1560_P1600_SI_Utility.exe
If the file is no longer available I have it located on my server here:
LJP1100_P1560_P1600_SI_Utility
Once downloaded run the program and it should detect your printer when plugged in with USB.
Select the printer and click Disable.
Restart your printer and you will be able to install the drivers the old fashioned way.
