The least common factor of any set of numbers is 1.
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2 is a common factor of 24 and 72.
This question mixes up two different concepts - that of the highest common factor (HCF) and lowest common multiple (LCM).
The Greatest Common Factor between 72 & 300 is 12, so (72/12) / (300/12) = 6/25
21 can not be divided by 2, ergo it can not be a common factor with 72
The lowest common multiple of 8 and 9 is 72.