Algebra 1 · Factoring
Greatest Common Factor
Algebra 1 · Factoring
Definition
The greatest common factor is the largest factor shared by all terms of an expression.
Examples
- The GCF of 12x and 18 is 6.
- The GCF of 4x^2 and 6x is 2x.
Key rule
Factor out the GCF before any other factoring.
Memory hook
GCF = the biggest piece every term shares.