If $x$ and $y$ are positive integers, is $xy$ a multiple of $8?$

If $x$ and $y$ are positive integers, is $xy$ a multiple of $8?$

(1) The greatest common divisor of $x$ and $y$ is $10.$
(2) The least common multiple of $x$ and $y$ is $100.$

Answer: C

Source: GMAT Prep

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