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Lena is putting together bags of groceries to donate to charity. She has $16$ boxes of macaroni and cheese and $8$ cans of vegetables. Lena wants to divide them up evenly, so that each bag has the same contents and no items are left over. What is the greatest number of bags of groceries Lena can put together? $\newline$ _____bags

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GCF and LCM: word problems

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Q. Lena is putting together bags of groceries to donate to charity. She has

16

boxes of macaroni and cheese and

8

cans of vegetables. Lena wants to divide them up evenly, so that each bag has the same contents and no items are left over. What is the greatest number of bags of groceries Lena can put together?

\newline

_____bags

Identify Need: Identify the need to find the greatest common factor (GCF) to determine the maximum number of identical bags Lena can create. $\newline$ Calculation: We need the GCF of $16$ (boxes of macaroni and cheese) and $8$ (cans of vegetables).
List Factors: List the factors of each number to find the GCF. $16$ : $1, 2, 4, 8, 16$ $8$ : $1, 2, 4, 8$ Common factors are $1, 2, 4, 8$ .
Find GCF: Identify the greatest common factor from the list of common factors. $\newline$ The greatest common factor is $8$ .

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