Signal cancellation factor analysis applies a drastically different approach to exploratory factor analysis. Its current implementation requires that each factor has two exclusive indicator variables. When this is so, variables belonging to a common factor are recognized by the possibility of combining them to cancel their respective signal from the factor, leaving only noise in the result that does not correlate with any other variable. Variables loading on several factors are explained by cancelling their signal using combinations of variables representing the respective factors involved. There is no matrix decomposition, no need to specify the number of factors, and no rotation indeterminacy. A manuscript entitled “Signal cancellation factor analysis” should be available in arXiv, PsyArXiv and Research Gate. The two user commands are sc=SCFA(data); and SCFAreport(sc);