Factoring out GCF (Finding factors)

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides all the given numbers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor that appears in both lists.

Front

Factor out the GCF from 12x + 8.

Back

4(3x + 2).

Front

What is the first step in factoring out the GCF from an expression?

Back

Identify the GCF of all the terms in the expression.

Front

Factor out the GCF from 18a^2b + 24ab^2.

Back

6ab(3a + 4b).

Front

What does it mean to factor completely?

Back

Factoring completely means breaking down an expression into its simplest form, where no further factoring is possible.

Front

Factor out the GCF from 5x^3 + 10x^2 - 15x.

Back

5x(x^2 + 2x - 3).

Front

What is the GCF of 30 and 45?

Back

The GCF of 30 and 45 is 15.

Front

Factor out the GCF from 8x^4y + 12x^3y^2 + 4x^2y.

Back

4x^2y(2x^2 + 3xy + 1).

Front

How can you check if your factoring is correct?

Back

You can check by distributing the GCF back into the factored expression to see if you return to the original expression.