How does Medicare work with COBRA?
Whether you can have COBRA and Medicare depends on which one you had first. If you have COBRA and then become eligible for Medicare, your COBRA may end. If you have Medicare and then become eligible for COBRA, you can sign up for COBRA insurance and it will be secondary to Medicare.
If you have COBRA and Medicare, you should consider whether continuing with COBRA is worth the expense.
If you have dependents covered by your COBRA plan you should consider how their coverage will be affected if you lose or drop your COBRA.