To find the greatest number of packages Jamie can make, we need to find the greatest common divisor (GCD) of 48 and 64.
The prime factorization of 48 is 2^4 * 3, and the prime factorization of 64 is 2^6.
The common factors of 48 and 64 are 2^4, so the GCD is 2^4 = 16.
Therefore, Jamie can make 16 identical packages using all the books and animals.
The correct answer is 16.
Question
Jamie collects donations to make packages for kids in hospitals. He has 48 books and 64 stuffed animals and wants to make identical packages. What is the greatest number of packages he can make using all the books and animals? (1 point)
Responses
4
4
6
6
16
16
8
8
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