Usually monitors have a color 'temperature' adjustment, much the way a temperature Kelvin given on light bulbs typically refers to their color, not how hot they get. e.g. soft white is usually in the 2700K to 3000K range; bright white 3300K to 4500K; daylight bulbs usually run from 5400K to 6500K.
Most monitors have different presets in their menus for different temperatures Kelvin, too. The NEC CRT I'm using right now has presets for 9300K, 7500K, 6500K, 5000K and 3900K. The NEC LCD next to it has presets for 9300K, 8200K and 7500K. Having them both on 7500K gets them close to begin with, then I tweaked the red-blue-green and contrast/brightness settings to make them match... rather than comparing them to each other, though, I would recommend tweaking them both to match the same picture or calibration chart. That can be an ongoing process until you get them matched up, especially if you're also calibrating a good printer to print the same colors they are displaying (ICC Profiles should get you close, then you can tweak to match your paper).
If you do a web search for color calibration charts you should find sites that cater to both monitor AND printer calibration.