$X$ is a set of factors of $24$ and $Y$ is a set of factors of $36$ , then find the sets $X \cup Y$ and $X \cap Y$ .

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Solution

Given, $X$ is a set of factors of $24$ i.e., $X = {1, 2, 3, 4, 6, 8, 12, 24}$
Also given, $Y$ is a set of factors of $36$ i.e., $Y = {1, 2, 3, 4, 6, 9, 12, 18, 36}$
Therefore, the sets of $X \cup Y = {1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36}$
and $X \cap Y = {1, 2, 3, 4, 6, 12}$

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