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For a school fundraiser, Ernie sold 66 gift cards, Jessie sold 24 gift cards, and Makayla sold 78 gift cards. Choose the expression that uses the GCF and the Distributive Property to find the total number of gift cards that Ernie, Jessie, and Makayla sold. A. 2(33 + 12 + 39) B. 3(22 + 8 + 26) C. 6(11 + 4 + 13) D. 8(7 + 3 + 9)

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Answer:

C. 6(11 + 4 + 13)

Step-by-step explanation:

To find the GCF, start with the prime factorizations of the numbers.

66 = 2 * 3 * 11

24 = 2^3 * 3

78 = 2 * 3 * 13

To find the GCF, use only common factors with the smallest exponent.

GCF = 2 * 3 = 6

66/6 = 11

24/6 = 4

78/6 = 13

66 + 24 + 78 = 6(11 + 4 + 13)

Answer: C. 6(11 + 4 + 13)

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