Favor：
a thing that you do to help sb: Could you do me a favour and
pick up Sam from school today?
approval or support for sb/sth: The suggestion to close the
road has found favour with (= been supported by) local people.
Support:
~ sb/sth (in sth) to help or encourage sb/sth by saying or showing that you
agree with them/it.
to give or be ready to give help to sb if they need it: an
organization that supports people with Aids.
to help or encourage sth to be successful by giving it money: Several major companies are supporting the project.
to provide everything necessary, especially money, so that sb/sth can live or
exist: Mark has two children to support from his first
marriage.
to hold sb/sth in position; to prevent sb/sth from falling: a platform supported by concrete pillars.
to help to show that sth is true: The witness's story was
not supported by the evidence.
參考：牛津高階英語詞典