The recommendation is to continue with Pap tests until age 65, unless you have a risk factor for cervical cancer, such as HIV (human immunodeficiency virus). Even women who have had a hysterectomy may still need screening.
With mammograms, most women at low risk of breast cancer can stop at 75. In both cases, you and your OB-GYN should share information, talk about your wishes, and agree on when and how often you will be screened.