The difference is a noun. It is used to show two things are unlike each other. Sometimes a difference can be small.
For example, two printers may differ from one another in that one has the additional function of faxing. There are other times when a difference can be large.
For example, Republicans and Democrats have many differences between them.
Different is used to modify a noun. An example of this is describing how the firstborn is different than the younger baby of the family. It shows that a person is unique from the others and has clear standout traits.
The word difference can be used as a noun. This is meant to show the dissimilarity of two objects. There are times when the difference can be huge, or there are also times when the difference is barely noticeable. When you say the word “different,” you are going to use this as a word that can modify a noun.
For example, when you say that the person is “different” from the rest, you are modifying the person as someone who is unique from everyone else.
When you say, “There are differences between men and women.” This sentence shows that you are trying to prove that men and women are different from each other.