Question

3. Kaylee and Maggie are discussing how to find the GCF and LCM of 3°x 54 x 76 and 35 x 512 x 11. Kaylee says that the GCF should

be 38 × 512 because you want to use the bigger powers for the greatest common factor. She says that the LCM should be 35 x 54 because you want to use the smaller powers for the least common multiple. Maggie is wondering what to do about the 76 and the 11. Explain how to find the GCF and LCM using prime factorization. Is Kaylee correct?

Fig: 1