Pre-Algebra Examples

$18 x^{4} y^{3} \cdot 2$ , $4 x^{2} y^{2}$ , $36 x^{3} y$

Step 1

Factor out the GCF of $2$ from $18 x^{4} y^{3} \cdot 2 + 4 x^{2} y^{2} + 36 x^{3} y$ .

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Step 1.1

Factor out the GCF of $2$ from each term in the polynomial.

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Step 1.1.1

Factor out the GCF of $2$ from the expression $18 x^{4} y^{3}$ .

$2 (9 x^{4} y^{3}) \cdot 2 + 4 x^{2} y^{2} + 36 x^{3} y$

Step 1.1.2

Factor out the GCF of $2$ from the expression $2$ .

$2 (9 x^{4} y^{3}) + 2 (1) + 4 x^{2} y^{2} + 36 x^{3} y$

Step 1.1.3

Factor out the GCF of $2$ from the expression $4 x^{2} y^{2}$ .

$2 (9 x^{4} y^{3}) + 2 (1) + 2 (2 x^{2} y^{2}) + 36 x^{3} y$

Step 1.1.4

Factor out the GCF of $2$ from the expression $36 x^{3} y$ .

$2 (9 x^{4} y^{3}) + 2 (1) + 2 (2 x^{2} y^{2}) + 2 (18 x^{3} y)$

Step 1.2

Since all the terms share a common factor of $2$ , it can be factored out of each term.

$2 (9 x^{4} y^{3} + 1 + 2 x^{2} y^{2} + 18 x^{3} y)$

Step 2

The greatest common factor $GCF$ is the term in front of the factored expression.

$2$