Question

1. mr. mancelli teaches fifth - grade math. he is making prize bags for the winners of a math game. if he has 8 candy bars and 12 packages of gum, what is the largest number of identical prize bags he can make without having any leftover candy bars or packages of gum?

enter your answer with numbers and decimals only

Explanation:

Step1: Find factors of 8

The factors of 8 are \(1, 2, 4, 8\) (since \(8\div1 = 8\), \(8\div2 = 4\), \(8\div4 = 2\), \(8\div8 = 1\)).

Step2: Find factors of 12

The factors of 12 are \(1, 2, 3, 4, 6, 12\) (since \(12\div1 = 12\), \(12\div2 = 6\), \(12\div3 = 4\), \(12\div4 = 3\), \(12\div6 = 2\), \(12\div12 = 1\)).

Step3: Identify common factors

The common factors of 8 and 12 are \(1, 2, 4\).

Step4: Find the greatest common factor (GCF)

Among the common factors \(1, 2, 4\), the greatest one is 4. This means the largest number of identical prize bags is the GCF of 8 and 12, which is 4.

Answer:

4