Question: what is the greatest common factor of 24 and 48 using prime factorization?
Answer: The prime factorization of 48 is: 2 x 2 x 2 x 2 x 3. The prime factors and multiplicities 24 and 48 have in common are: 2 x 2 x 2 x 3. 2 x 2 x 2 x 3 is the gcf of 24 and 48. gcf(24,48) = 24.