# GRE Math : How to find the common factors of squares

## Example Questions

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### Example Question #11 : Arithmetic

Find the square root of .

Explanation:

To simplify, we must try to find factors which are perfect squares. In this case 4 is a factor of 164 and is also a perfect square.

To find the square root of , use the following steps:

### Example Question #11 : How To Find The Common Factors Of Squares

Reduce.

Explanation:

Use the following arithmetic steps to reduce .

To simplify, we must try to find factors which are perfect squares. In this case 64 is a factor of 192 and is also a perfect square.

Note  and  are both factors of , however only  can be reduced.

### Example Question #11 : How To Find The Common Factors Of Squares

Reduce.

Explanation:

To reduce this expression, first find factors of , then reduce.

To simplify, we must try to find factors which are perfect squares. In this case 16 is a factor of 368 and is also a perfect square.

The solution is:

### Example Question #11 : How To Find The Common Factors Of Squares

Find the square root of .