Shaquira is baking cookies to put in packages for a fundraiser. Shaquira has made 86 chocolate chip cookies and 42 sugar cookies.Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.What is the greatest number of identical packages that Shaquira can make?

Answer:2Step-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 Cookies42 Sugar CookiesLet's take the 86 Chocolate Chip Cookies first.[tex]86 \left \{ {{2} \atop {43}} \right.[/tex] or 86 = 2 x 43Now 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 7Now 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 = 422 x 43     = 862  = Total number of identical packages.