GCF Factoring

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

How do you find the GCF of 12 and 18?

Back

The GCF of 12 and 18 is 6, as 6 is the largest number that divides both 12 and 18.

Front

Factor the expression: 63x^4 - 7x^2 + 28x

Back

7x(9x^3 - x + 4)

Front

What is the GCF of the terms in the expression 5x^2 + 20x?

Back

5x

Front

Factor the expression: 2n^3 + 16n + 12

Back

2(n^3 + 8n + 6)

Front

Factor out the GCF from 3x^3 + 9x.

Back

3x(x^2 + 3)

Front

What is the GCF of the coefficients in the expression -84x^4 + 72xy^2 + 12xy?

Back

The GCF is 12.

Front

Factor the expression: -84x^4 + 72xy^2 + 12xy

Back

-12x(7x^3 - 6y^2 - y)

Front

What is the first step in factoring an expression?

Back

Identify the GCF of all the terms in the expression.

Front

How do you factor out the GCF from an expression?

Back

Divide each term of the expression by the GCF and write it outside the parentheses.