Question: what is the greatest common factor for 4 and 7?
Answer: The factors of 4 are 4, 2, 1., The factors of 7 are 7, 1., The common factors of 4 and 7 are 1, intersecting the two sets above., In the intersection factors of 4 ∩ factors of 7 the greatest element is 1., Therefore, the greatest common factor of 4 and 7 is 1.