\[5x+30y\]

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Examples

Find the Greatest Common Factor (GCF).

What is the largest number that divides evenly into

5x

and

30y

It is

5

What is the highest degree of $x$ that divides evenly into

5x

and

30y

It is 1, since

x

is not in every term.

What is the highest degree of $y$ that divides evenly into

5x

and

30y

It is 1, since

y

is not in every term.

Multiplying the results above,

The GCF is

5

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GCF =

5

Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

5(\frac{5x}{5}+\frac{30y}{5})

Simplify each term in parentheses.

5(x+6y)

Done

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