Find the set $A \cap U$. \[ \begin{array}{l} U=\{1,2,3,4,5,6\} \\ A=\{2,4,5,6\} \end{array} \]

Step 1 ：Given two sets U and A, where U = {1, 2, 3, 4, 5, 6} and A = {2, 4, 5, 6}.

Step 2 ：We are asked to find the intersection of set A and set U. In set theory, the intersection of two sets is the set of elements that are common to both sets.

Step 3 ：So, we need to find the common elements in set A and set U.

Step 4 ：By comparing the elements in both sets, we find that the common elements are {2, 4, 5, 6}.

Step 5 ：Therefore, the intersection of set A and set U is {2, 4, 5, 6}.

Step 6 ：Final Answer: The intersection of set A and set U is \( \boxed{\{2, 4, 5, 6\}} \).