Prime squares have three factors. 4, 9, 25
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30, 42, 66, 78, 102, 105, 114, 138 all have exactly three distinct prime factors.
We don't generally consider the negative factors of positive numbers, but they are exactly the same digits as the positive factors, just with minus signs.
Of the numbers from 1 to 30, only 30 has all three of those numbers as factors.
There are not common factors of 30 because there cannot be common factors without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. The prime factors of 30 are 2, 3, and 5.
The common factors of 30 and 300 are the numbers that can divide both 30 and 300 without leaving a remainder. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. The factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, and 300. Therefore, the common factors of 30 and 300 are 1, 2, 3, 5, 6, 10, 15, and 30.