To get rid of extremely dry skin on your face or any dry skin on your face use a mild facial cleanser to cleanse your face along with using lukewarm water.
Then after cleansing your face take some Shea Butter and apply it to your dry skin and massage it into your skin.
Then every few days exfoliate your face using a good facial cleanser and then after you shower apply some lotion that is moisturizing lotion to lock in the moisture on your face.
Applying a face mask and using a humidifier in your room at night can help with preventing your skin on your face from drying out.