Pre-Algebra Examples

$52 r^{2} s$ , $78 r s^{2} \cdot (2 t)$

Step 1

Remove parentheses.

$52 r^{2} s + 78 r s^{2} \cdot 2 t$

Step 2

Factor $26 r s$ out of $52 r^{2} s + 78 r s^{2} \cdot 2 t$ .

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Step 2.1

Factor $26 r s$ out of $52 r^{2} s$ .

$26 r s (2 r) + 78 r s^{2} \cdot 2 t$

Step 2.2

Factor $26 r s$ out of $78 r s^{2} \cdot 2 t$ .

$26 r s (2 r) + 26 r s (3 s \cdot 2 t)$

Step 2.3

Factor $26 r s$ out of $26 r s (2 r) + 26 r s (3 s \cdot 2 t)$ .

$26 r s (2 r + 3 s \cdot 2 t)$

Step 3

Multiply $2$ by $3$ .

$26 r s (2 r + 6 s t)$

Step 4

Factor.

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Step 4.1

Factor $2$ out of $2 r + 6 s t$ .

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Step 4.1.1

Factor $2$ out of $2 r$ .

$26 r s (2 (r) + 6 s t)$

Step 4.1.2

Factor $2$ out of $6 s t$ .

$26 r s (2 (r) + 2 (3 s t))$

Step 4.1.3

Factor $2$ out of $2 (r) + 2 (3 s t)$ .

$26 r s (2 (r + 3 s t))$

Step 4.2

Remove unnecessary parentheses.

$26 r s \cdot 2 (r + 3 s t)$

Step 5

Multiply $2$ by $26$ .

$52 r s (r + 3 s t)$

Step 6

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

$52 r s$