Being able to find the Greatest Common Factor of two numbers is an important basic foundational skill. It goes WAY back to what you learned in elementary school…and the days of the 'greatest common factor' and 'greatest common divisor.' Let's see how you can put that old knowledge to use in Prealgebra! So, let's say you have two monomials like 

and, you wanted to find out what the Greatest Common Factor they share is. What would be the best or easiest method for finding it? Check this out! 

Step 1: Write out the monomials sidebyside.


Step 2: Look at the COEFFICIENTS.


Step 3: Look at the first common variable.


Step 4: Continue factoring the variables. Each variable/step has its own floor on the house!


Step 5: Writing the GCF…


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