A teacher has 36 sheets of construction paper and 78 markers. She wants to pack them in boxes with the same number of sheets and markers in each box. What is the greatest number of boxes the teacher can use to pack the sheets of construction paper and markers?

6 boxes.

Step-by-step explanation:

We have been given that a teacher has 36 sheets of construction paper and 78 markers.

As teacher wants to pack the same number of sheets and markers in each box, So we will have to find the greatest common factor (GCF) of 36 and 78.

Factors of 36 are: 1, 2, 3, 4, 6, 6, 18,12, 18, 36

Factors of 78 are: 1, 2, 3, 26, 39, 78.

We can see that GCF of 36 and 78 is 6. The number of sheets of construction paper in each box will be 6 (6*6=36) and number of markers in each box will be 13 (13*6=78).

Therefore, the greatest number of boxes the teacher can use to pack the sheets of construction paper and markers is 6.