Question: what is the greatest common factor for 14 and 16?
Answer: The factors of 16 are 16, 8, 4, 2, 1. The common factors of 14 and 16 are 2, 1, intersecting the two sets above. In the intersection factors of 14 ∩ factors of 16 the greatest element is 2. Therefore, the greatest common factor of 14 and 16 is 2.