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Yes, it can.
Yes, if they are in common for all the terms.
When you divide 2 or more numbers by a common factor which is not the greatest common factor, they will still have a common factor which is greater than 1. When you divide them by their greatest common factor, the quotients are coprime - that is, they no longer have a factor in common other than 1.
1. Factoring out a common monomial 2. Factoring out the differnece of two perfect square numbers 3. Factoring out a common binomial
I'm not sure how we could help you write something in your own words.