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Question

Charlie is thinking of a number that can divide both 24 and 8 evenly. What is the largest possible number that Charlie could be thinking of?


A
24
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B
8
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C
2
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D
4
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Solution

The correct option is B 8
To solve this problem, first we have to break down both the numbers into prime factors.

The prime factorization of 8 is: 2 × 2 × 2
The prime factorization of 24 is: 2 × 2 × 2 × 3

Thus, the greatest common factor of 8 and 24 is 2 × 2 × 2 = 8

Hence, the largest possible number that can divide both 24 and 8 is 8.

The number Charlie is thinking of is 8.

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