Question
Dee is creating scrapbook pages and has 28 photos of her vacation and 32 stickers.
What is the greatest number of pages she can create that will all have the same number of photos and stickers?
(1 point)
Responses
4
4
7
7
8
8
14
14
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To find the greatest number of pages that can have the same number of photos and stickers, we need to find the greatest common divisor (GCD) of 28 and 32.
The prime factors of 28 are 2^2 * 7.
The prime factors of 32 are 2^5.
To find the GCD, we take the smallest exponent of each common prime factor. In this case, the smallest exponent of 2 is 2, so we take 2^2 = 4.
Therefore, the greatest number of pages that can have the same number of photos and stickers is 4.