Factoring GCF

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest factor that two or more numbers have in common.

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 the expression: 10x + 15

Back

5(2x + 3)

Front

Factor the expression: 56a^3 - 8a

Back

8a(7a^2 - 1)

Front

What is the GCF of 10a^2b^3 and 20a^2b^2?

Back

10a^2b^2

Front

Factor the expression: 5ab^2c^11 + 2bc^5

Back

bc^5(5abc^6 + 2)

Front

What is the GCF of 5x^2 and 20x?

Back

5x

Front

What is the first step in factoring an expression?

Back

Identify the GCF of all the terms in the expression.

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: 12x^2 + 8x

Back

4x(3x + 2)