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Both numbers must be multiples of 8, since their greatest common factor is 8. The numbers cannot be larger than 24, since it is their least common multiple. One of the numbers is 8. The only other multiples of 8 that are equal to or less than 24 are 16 and 24. 8 and 16 have greatest common factor of 8 but least common multiple of 16, so it cannot be this pair.

8 and 24 have greatest common factor of 8 and least common multiple of 24, so this is the solution.

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