Unit 7, Lesson 16
Common Factors
Grade 6
16.1
Warm-up
Figures Made of Squares
How are the pairs of figures alike? How are they different?
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How are the pairs of figures alike? How are they different?
Diego is organizing fiction and nonfiction books into boxes to deliver to different classrooms. He has 48 fiction books and 64 nonfiction books. He would like each classroom to receive the same number of each type of book. Organize your answer to each question so that it can be followed by others.
How many different ways can Diego box the 48 fiction books? List all the different ways including the number of boxes and the number of fiction books in each box.
How many different ways can Diego box the 64 nonfiction books? List all the different ways including the number of boxes and the number of nonfiction books in each box.
A common factor of two numbers is a number that evenly divides both numbers.
The common factors of 15 and 20 are 1 and 5.
The greatest common factor of two numbers is the largest number that evenly divides both numbers.
The greatest common factor of 45 and 60 is 15.