The best home remedy I've found that works for me to get rid of acne quickly is by using lemon juice.
Take a cotton ball and soak the cotton ball with lemon juice and then apply the lemon juice to the acne and let it sit for at least 15 minutes and then wash the lemon juice off your face.
It took a few days of applying the lemon juice to my acne but after a few days my acne was gone by using lemon juice.