Question: what is the greatest common factor of eight and 32?
Answer: The prime factorization of 8 is: 2 x 2 x 2. The prime factorization of 32 is: 2 x 2 x 2 x 2 x 2. The prime factors and multiplicities 8 and 32 have in common are: 2 x 2 x 2. 2 x 2 x 2 is the gcf of 8 and 32. gcf(8,32) = 8.