\[6{x}^{2}y+4xy+2ya\]

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Examples

Find the Greatest Common Factor (GCF).

What is the largest number that divides evenly into

6{x}^{2}y

4xy

, and

2ya

It is

2

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

6{x}^{2}y

4xy

, and

2ya

It is 1, since

x

is not in every term.

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

6{x}^{2}y

4xy

, and

2ya

It is

y

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

6{x}^{2}y

4xy

, and

2ya

It is 1, since

a

is not in every term.

Multiplying the results above,

The GCF is

2y

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GCF =

2y

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

2y(\frac{6{x}^{2}y}{2y}+\frac{4xy}{2y}+\frac{2ya}{2y})

Simplify each term in parentheses.

2y(3{x}^{2}+2x+a)

Done

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