Taking out a common factorTwo and three terms
Take out the greatest common factor. Fill in every number.
The first thing to try on any expression: does every term share a factor? These free printable worksheets take it out.
Kid stuck on one? You don’t just get the sheet.

The answer key prints on a separate page.
This is the step students skip on the way to everything else. Before factoring a quadratic or solving anything, look at whether every term shares a factor and pull it out in front — and if you do not, every later step is bigger than it needed to be.
The word that carries the difficulty is GREATEST. 6x + 12 has 2 in common, and 3, and 6; only the last one finishes the job, and a student who stops at 2 writes 2(3x + 6), which still has a 3 inside. So the walks list what divides each coefficient and take the biggest they share, rather than announcing a number — listing is short, checkable, and repeatable on the next question.
One question from this sheet, worked through a step at a time.
68x² + 136x + 85