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### Course: Algebra (all content) > Unit 10

Lesson 12: Factoring polynomials by taking common factors- Factoring polynomials by taking a common factor
- Taking common factor from binomial
- Taking common factor from trinomial
- Taking common factor: area model
- Factoring polynomials: common binomial factor
- Factor polynomials: common factor
- Factoring by common factor review
- Factoring polynomials: common factor (old)
- Factoring polynomials: common factor (old)

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# Factoring by common factor review

The expression 6m+15 can be factored into 3(2m+5) using the distributive property. More complex expressions like 44k^5-66k^4 can be factored in much the same way. This article provides a couple of examples and gives you a chance to try it yourself.

### Example 1

**Factor.**

Both terms share a common factor of ${3}$ , so we factor out the ${3}$ using the distributive property:

*Want a more in-depth explanation? Check out this video.*

### Example 2

**Factor out the greatest common monomial.**

The coefficients are $44,66,$ and $77$ , and their greatest common factor is ${11}$ .

The variables are ${k}^{5},{k}^{4},$ and ${k}^{3}$ , and their greatest common factor is ${{k}^{3}}$ .

Therefore, the greatest common monomial factor is ${11{k}^{3}}$ .

Factoring, we get:

*Want another example like this one? Check out this video.*

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