Matias and Hannah are responsible for the centerpieces on the buffet tables at the school dance. they have 6 dozen carnations, 80 lilies, and 64 rosebuds. all the centerpieces must be identical. determine the greatest number of centerpieces Matias and Hannah can make if they use all the flowers. then describe the centerpiece

To answer this question, you will need to find the greatest common factor of all the numbers of flowers. This will be the biggest way we can divide them all out evenly.

There are 2 ways you can find the gcf:

1. List all factors

72-1,2,3,4,6,8,9,12,24, 36, 72

80-1,2,4,5,8,10,16,20,40,80

68-1,2,4,17, 34, 68

The greatest common factor is 4.

2. List prime factorization and match all prime numbers from all 3 lists.

72=2x2x2x3x3

80=2x2x2x2x5

68=2x2x17

2x2=4 flower arrangements

Each of the 4 center pieces will have 18 carnations, 20 lilies, and 17 rosebuds.