They are almost impossible to catch at times, and can squeeze through the smallest crevices. Cockroaches can live for a few days to a month with no food, so even though you don’t see them, does not mean they aren’t there. Cockroaches are almost impossible to eliminate, but there are some ways you can prevent further breeding by cleaning their popular spots in the home, for example the stove, kitchen surfaces, rubbish areas and dining spots. If uncontained, these pests can breed behind walls and habitually contaminate your home.