Factor GCF 2

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides each of the integers without leaving a remainder.

Front

How do you find the GCF of two or more terms?

Back

1. List the factors of each term. 2. Identify the common factors. 3. Choose the largest common factor.

Front

Factor the expression: 6x^4y^3 - 12x^4y^2 + 6x^3y^2

Back

6x^3y^2(1 - 2y + x) or 6x^3y^2.

Front

What is the first step in factoring by GCF?

Back

Identify the GCF of all the terms in the expression.

Front

Factor the expression: -p^2 + 14p

Back

-p(p - 14).

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.

Front

Factor the expression: 56a^3 - 8a

Back

8a(7a^2 - 1).

Front

What is the GCF of 6, 12, and 18?

Back

The GCF is 6.

Front

Factor the expression: 17xy - x

Back

x(17y - 1).

Front

What is the GCF of the coefficients in the expression 4b^5 + 4b^3 + 16b^2?

Back

The GCF of the coefficients is 4.