The Whig Party and Andrew Jackson really have very little in common. In fact, the Whig Party was created mainly as a way to oppose Andrew Jackson. It took its name from the English Whigs who were the party that thought that Parliament should have more power and the king should have less. The Whigs took this name because they believed that Jackson was acting like a king and that they should take power away from him.
The only major similarity between the two that I can think of is that both Jackson and the Whigs were generally nationalists. Jackson stood strongly against the doctrine of nullification when South Carolina tried to nullify the tariff. The Whigs were similarly in favor of national power as opposed to state power. Other than that, I cannot think of any similarities between these two.