The pre post variable is your repeat. The intervention control variable is your between groups variable. So, from what you have written, you have two independent variables and this is sometimes referred to as a mixed design because one repeats and the other does not.
Assuming you are only measuring one dependent variable, you have a 2 x 2 mixed design. You would use an ANOVA and you would be testing 1) the main effect of time (pre/post), 2) the main effect of group (intervention/control), AND 3) the interaction of time*group. In this design you typically only care about the interaction. Most researchers want to see that the intervention group has had a better time effect as compared to the control.