Answer:
2
Step-by-step explanation:
To be able to find the greatest number of identical packages that Shaquira will be able to make, we first need to find the prime factors of the Chocolate Chip Cookies and Sugar Cookies.
86 Chocolate Chip Cookies
42 Sugar Cookies
Let's take the 86 Chocolate Chip Cookies first.
[tex]86 \left \{ {{2} \atop {43}} \right.[/tex] or 86 = 2 x 43
Now let's take the Sugar Cookies.
[tex]42 \left \{ {{2} \atop {21\left \{ {{3} \atop {7}} \right. }} \right.[/tex] or
42 = 2 x 3 x 7
Now that we have the prime factors, we then look for the Greatest Common Factor between the sets of prime factors.
2 x 3 x 7 = 42
2 x 43 = 86
2 = Total number of identical packages.
