Dic/ caregiver, caretaker

caregiver (or care giver):

someone who is responsible for looking after another person, for ex., a person who is disabled, ill, or very young. (mainly AM)

caretaker (or care taker):

1) a person whose job it is to look after a large building such as a school or a block of flats or apartments, and deal with small repairs to it. (BRIT; in AM, use janitor)

2) A caretake is a person whose job it is to take cae of a house or property when the owner is not there.

4) someone who is responsible for looking after another person, for ex., a person who is disabled, ill, or very young. (maily AM; in BRIT, use carer)

...... COBUILD

 So, both caregiver and caretaker have the same meaning in American English?