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{{ printedBook.courseTrack.name }} {{ printedBook.name }} The greatest common factor, abbreviated GCF, is the highest factor of all terms in an expression. For example, in the expression $8+4$ there are three common factors: $8+4=8⋅1+4⋅18+4=4⋅2+2⋅28+4=2⋅4+1⋅4 $ Then, the GCF is $4$ because it's the highest factor that exist in both $8$ and $4.$ If the expression contains a variable, it can be a part of the GCF. The expression $4x+2x$ has the GCF: $4x+2x=2x⋅2+2x⋅1=2x(2+1).$