There is not much difference except the time frame put into evaluation. Clarivate analytics (ISI) uses the published articles for the last two years, while Scopus uses a 3 year window. Scopus calls it metrics as citescore while ISI calls it Impact Factor. But it must be kept in mind that Scopus is a bigger repository and indexing system in terms of number of journals. And citescore has started becoming an important tool for journal evaluation since the end of 2016 replacing IF in some cases. However, both the systems only work for marketization of knowledge through metrics comparison.
There is not much difference except the time frame put into evaluation. Clarivate analytics (ISI) uses the published articles for the last two years, while Scopus uses a 3 year window. Scopus calls it metrics as citescore while ISI calls it Impact Factor. But it must be kept in mind that Scopus is a bigger repository and indexing system in terms of number of journals. And citescore has started becoming an important tool for journal evaluation since the end of 2016 replacing IF in some cases. However, both the systems only work for marketization of knowledge through metrics comparison.
I recently released a short comparative study of several indexes. It is available freely as a Research Note on Researchgate, and attached to this message.
The official impact factor is assigned by Clarivate Analytics (the Web of Science owner). Not all journals in Scopus have IF in this sense (and maybe there are some journals that have IF but are not covered by Scopus).
Scopus has its own citation metric, CiteScore, as it was already mentioned in the other answers. See e.g.
Scopus has a broader journal coverage, meaning that most “ISI journals” are also “Scopus journals” but traditionally ISI has a more elitist approach to including journals. The two systems have slightly different criteria and slightly different functionality, but given that most ISI journals are also Scopus journals, there is no inherent difference between journals carrying one label or the other.