why is it important to find the GCF first when factoring?

The greatest common factor, GCF, is the largest number (expression) that divides exactly into two or more numbers (expressions). The greatest common factor will prove to be an important value. The first step in every factoring problem is to determine and factor out the greatest common factor.

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sheenuvt12 sheenuvt12 · Answer 2 · 2022-07-18T06:46:35+02:00

The reason is that to find and factor out the greatest common factor.

What's a GCF in math?

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

For example, 12, 20, and 24 have two common factors: 2 and 4.

The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.

It is necessary to find the GCF while factoring because as we know greatest common factor is the largest number that can be divided exactly into two or more numbers.

So, the greatest common factor is important to find and factor out the greatest common factor.

Learn more about GCF here:

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