Question

Salvatore is making party favors for his birthday party. He has 96 pencils and 80 boxes of raisins. Find the GCF of 96 and 80 to figure out how many party favors he can make. How many pencils and boxes of raisins will be in each one?

Answer 1

The greatest common factor is 18

Then you divide 18 by 96 then 80

80/16=5

96/16=6

So therefore there are 5 boxes of raisins and 6 pencils in each bag

Answer 2

GCF is 16, and 6 pencil boxes, and 6 boxes of raisins.

Explanation:

Since, we know the factors of 96 and 80 as:

96 is: 2 x 2 x 2 x 2 x 2 x 3.

85 is: 2 x 2 x 2 x 2 x 5.

So, the factors in common are:

85 and 96: 2 x 2 x 2 x 2

therefore, HCF is:

2 x 2 x 2 x 2 = 16

For pencil boxes,

`(96)/(16) = 6`

For raisins boxes,

`(80)/(16) = 5`