Two numbers are called relatively prime if their greatest common divisor is $1$. grogg's favorite number is the product of the integers from $1$ to $10$. what is the smallest integer greater than $500$ that is relatively prime to grogg's favorite number?

Product of the integers from $1$ to $10$ is $3628800$.

So, Grogg's favorite number is $3628800$.

The smallest integer greater than $500$ that is relatively prime to Grogg's favorite number should not have a common divisor with $3628800$.

This means, that number should not be divisible by any of the integers from $2$ to $10$.

Clearly, $503$ is the smallest integer greater than $500$ that is relatively prime to Grogg's favorite number.

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .

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