Well, isn't that a happy little question! When two numbers are coprime, it means they have no common factors other than 1. In this case, 71 and 81 are coprime because the only positive integer that divides both of them is 1. Just like how each tree in a painting is unique and special, these numbers stand on their own with no shared factors except for the joy of being themselves.
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71 is a Prime number because it has only two factors whereas 81 is a composite number because it has more than two factors.