Question: what is the greatest common factor of 36 and 60 using prime factorization?
Answer: The prime factorization of 60 is: 2 x 2 x 3 x 5. The prime factors and multiplicities 36 and 60 have in common are: 2 x 2 x 3. 2 x 2 x 3 is the gcf of 36 and 60. gcf(36,60) = 12.