GCF Factoring

Front

What is 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 two numbers?

Back

List the factors of each number and identify the largest factor that appears in both lists.

Front

What is the first step in factoring using GCF?

Back

Identify the GCF of the terms in the expression.

Front

Factor the expression: 39y^5 + 12y^4 - 3y^3

Back

3y^3(13y^2 + 4y - 1)

Front

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

Back

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

Front

Factor the expression: 8n^3 + 2n^2

Back

2n^2(4n + 1)

Front

Factor the expression: -64a^4b - 96ab^3 + 8a

Back

-8a(8a^3b + 12b^3 - 1)

Front

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

Back

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

Front

What is the significance of factoring by GCF in algebra?

Back

Factoring by GCF simplifies expressions and makes it easier to solve equations.

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors.