Precalculus Examples

$8 m^{2}$ , $4 m y \cdot 10 m^{4}$

Step 1

Factor out the GCF of $2 m$ from $8 m^{2} + 4 m y \cdot (10 m^{4})$ .

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Step 1.1

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

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Step 1.1.1

Factor out the GCF of $2 m$ from the expression $8 m^{2}$ .

$2 m (4 m) + 4 m y \cdot (10 m^{4})$

Step 1.1.2

Factor out the GCF of $2 m$ from the expression $4 m y$ .

$2 m (4 m) + 2 m (2 y) \cdot (10 m^{4})$

Step 1.1.3

Factor out the GCF of $2 m$ from the expression $10 m^{4}$ .

$2 m (4 m) + 2 m (2 y) + 2 m (5 m^{3})$

Step 1.2

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

$2 m (4 m + 2 y + 5 m^{3})$

Step 2

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

$2 m$