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Beth used the distributive property to rewrite the expression, 48 + 32, as 8(6 + 4).Beth claims she factored out the greatest common factor of 48 and 32. Beth is incorrect, because is the greatest common factor of .

User Nadean
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1 Answer

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17 votes

Given:

Beth used the distributive property to rewrite the expression, 48 + 32, as 8(6 + 4). Beth claims she factored out the greatest common factor of 48 and 32.

To find:

The greatest common factor of 48 and 32.

Solution:

First factorise both the numbers:


\begin{gathered} 48=2*2*2*2*3 \\ 32=2*2*2*2*2 \end{gathered}

From the above factorisation, we can say that greater common factor of 48 and 32 is:


2*2*2*2=16

Thus, the greatest common factor of 48 and 32 is 16.

User RussellHarrower
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