Final answer:
To find the two mystery whole numbers whose LCM is 24 and GCF is 1, factorize 24 to find its prime factors, then pick two factors that multiply to 24 and are relatively prime. An example of such numbers is 8 and 3.
Step-by-step explanation:
The student has asked about finding two whole numbers whose least common multiple (LCM) is 24 and greatest common factor (GCF) is one. To find the numbers, consider the factors of 24 first. The prime factors of 24 are 2, 2, 2, and 3 (23 × 3).
Now, we need two numbers that have a GCF of 1, meaning they are relatively prime, and when multiplied together give us 24. An example of such numbers is 8 (23) and 3. Multiplying 8 by 3 gives 24, and since there are no common factors besides 1, the GCF is indeed 1. Therefore, the two mystery numbers can be 8 and 3.