Editing Factorization (section)

====Common factor====
It may occur that all terms of a sum are products and that some factors are common to all terms. In this case, the [[Distributive property|distributive law]] allows factoring out this common factor. If there are several such common factors, it is preferable to divide out the greatest such common factor. Also, if there are integer coefficients, one may factor out the [[greatest common divisor]] of these coefficients.

For example,<ref>{{harvnb|Fite|1921|p=19}}</ref>
<math display="block">6 x^3 y^2 + 8 x^4 y^3 - 10 x^5 y^3 = 2 x^3 y^2(3 + 4xy - 5 x^2 y),</math>
since 2 is the greatest common divisor of 6, 8, and 10, and <math>x^3y^2</math> divides all terms.