✖️Factoring Calculator
Factor any polynomial fully — GCF, difference of squares, trinomials, cubes, and grouping — with step-by-step working and a verification check.
Step-by-step working
Free Factoring Calculator with Steps
Need to factor a polynomial? Our free factoring calculator breaks down any expression fully — greatest common factor, difference of squares, perfect square trinomials, sum and difference of cubes, quadratic trinomials, and grouping — and shows every step labelled by technique, so you understand what's happening at each stage.
Enter your polynomial in standard notation, and the solver works through the strategies in the correct order, applying each one that fits until the expression is fully factored. Fractional and integer coefficients are handled correctly, and if the polynomial is irreducible over the rationals, you'll be told so clearly rather than left with a blank output. A verification step expands the factored form to confirm it matches your original expression.
Simply enter your polynomial to factor it instantly. No sign-up, no downloads, no limits — just clear, step-by-step factoring with the working shown.