500
                                The library is designing a book display with 20 fiction books, 28 biographies, and 40 non-fiction books. Each shelf will have only one type of book on it. Judy says she can put 5 books on each shelf. She listed the common factors of 20, 28, and 40 below to support her reasoning. 
20: 1, 2, 3, 4, 5, 7, 20
28: 1, 2, 3, 4, 5, 14, 28
40: 1, 2, 4, 5, 8, 10, 20, 40
Is she correct? Explain your answer. If her reasoning is incorrect, explain how she should have found the answer. 
                                She is not correct. Her lists of factors for 20 and 28 are not correct. Since the common factors are 1, 2, 4 she can only put 1, 2 or 4 book on each shelf.