Factoring GCF

Front

What is the GCF (Greatest Common Factor)?

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

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

Front

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

Back

2(n^3 + 8n + 6)

Front

What is the first step in factoring using the GCF?

Back

Identify the GCF of all the terms in the expression.

Front

Factor the expression: 10x^2 + 15x - 5

Back

5(2x^2 + 3x - 1)

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: 24x - 64

Back

8(3x - 8)

Front

What is the GCF of 24 and 64?

Back

The GCF of 24 and 64 is 8.

Front

Factor the expression: 7x + 21

Back

7(x + 3)

Front

What is the GCF of 7 and 21?

Back

The GCF of 7 and 21 is 7.