Question: what is the greatest common factor of 24 and 84 using prime factorization?
Answer: 24 can be factored into 2 x 2 x 2 x 3. 84 can be factored into 2 x 2 x 3 x 7. We can see that 24 and 84 have 2 x 2 x 3 in common, therefore, 12 is the greatest common factor.