Jazmyn has some strips of cloth she found for her project. The widths of the different strips are 72 cm, 96 cm, and 128 cm. They are to be cut into smaller pieces. Determine the greatest possible width of each piece so that they are all the same width. (1 point)

Answer 1

The greatest possible width of each piece is the greatest common factor of 72 cm, 96 cm, and 128 cm.

To find the greatest common factor (GCF) of these numbers, we can list the factors:

72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
128: 1, 2, 4, 8, 16, 32, 64, 128

The common factors are 1, 2, 4, 8. The greatest common factor is 8.

Therefore, the greatest possible width of each piece is 8 cm.