My college student daughters support themselves with student loans in their names, can I remove them as dependents on my taxes? Will this affect health insurance?

Both daughters receive federal and private student loans. I will assist them later when repaying the loans, but can't help much right now. The loans are all in their names, so I am not really providing much financial support. They can both claim education credits on their taxes if they are no longer dependents. If they do, will this affect anything else that I may not be thinking of? Health insurance or anything? They are listed as my dependents on my health insurance.