Question

a school science fair has 24 projects about Earth Science in 36 projects about physical science the projects will be displayed in separate rows by subject with an equal number of projects in each row which is the greatest number of projects that can be in a row

Answer 1

24 =
${2}^{3} \times 3$
36 =
${2}^{2} \times {3}^{2}$
The greatest common factor of 24 and 36 is
${2}^{2} \times 3$
Thus 12 is the greatest number of projects that can be in a row.