Page 139 - Math Course 1 (Book 1)
P. 139

Greatest Common Factor (GCF)





                 Find the GCF of 12, 48, and 72.              The common prime factors are 2, 2, and 3.

                 12: 2 • 2 •            3                     Prime Factors                     Prime Factors
                 48: 2 • 2 • 2 • 2 • 3                        of 12                                     of 48
                 72: 2 • 2 • 2 • 3 • 3                                                     2
                                                                                    2  2
                                                                                     3  2
                               The GCF of 12, 48, and 72 is   Prime Factors
                   Answer
                               2 • 2 • 3 or 12.               of 72                 3




                BAKE SALE                                          Your Turn!
                Parents donated 150 chocolate chip cookies and
                120 molasses cookies for a school bake sale. If the
                cookies are arranged on plates, and each plate has   Find The GCF
                the same number of chocolate chip cookies and
                the same number of molasses cookies, what is the   Find the GCF of 18 and 30.
                largest number of plates possible?
                                                                   A. 3
                Find the GCF of 150 and 120.                       B. 6
                150: 2 •             3 • 5 • 5                     C. 2
                120: 2 • 2 • 2 •  3 • 5                            D. 9

                The common prime factors are 2, 3, and 5.
                The GCF of 150 and 120 is 2 • 3 • 5 or 30.           Answer


                   Answer      So, 30 plates are possible.         Find the GCF of 24 and 32.


                                                                   A. 2
                                                                   B. 6
                                                                   C. 8
                                                                   D. 12
                BAKE SALE
                Parents donated 150 chocolate chip cookies and       Answer
                120 molasses cookies for a school bake sale. How
                many chocolate chip and molasses cookies will be
                on each plate?                                     Find the GCF of 30, 42, and 60.

                Chocolate chip:  150 ÷ 30 = 5                      A. 6
                Molasses:      120 ÷ 30 = 4                        B. 3
                                                                   C. 12
                                                                   D. 2
                                 So, each plate will have 5
                    Answer       chocolate chip cookies
                                 and 4 molasses cookies.             Answer


















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