Noteables Interactive Study Notebook (26491.0K) - McGraw-Hill ...

4–1A Plan for Problem SolvingMAIN IDEA• Find the greatestcommon factor of twoor more numbers.BUILD YOUR VOCABULARY (pages 86–87)Venn diagrams use overlapping circles to showelements. Factors that are shared byor more numbers are called common factors.Theof the common factors of two ormore numbers is the greatest common factor (GCF) ofthe numbers.EXAMPLE Find the GCF by Listing FactorsFind the GCF of 36 and 48.First make an organized list of the factors for each number.36: 1 × 36, 2 × 18, 3 × 12, 4 × 9, 6 × 61, 2, 3, 4, 6, 9, 12, 18, 3648: 1 × 48, 2 × 24, 3 × 16, 4 × 12, 6 × 81, 2, 3, 4, 6, 8, 12, 16, 24, 48The common factors aregreatest of these is .and theSo, the greatest common factor or GCF of 36 and 48 is .Check Your Progress Find the GCF of 45 and 75.Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.88 Math Connects, Course 1