Factoring Using 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 12 and 16?

Back

List the factors: 12 (1, 2, 3, 4, 6, 12) and 16 (1, 2, 4, 8, 16). The GCF is 4.

Front

Factor 7x + 21 using the GCF.

Back

7(x + 3)

Front

Combine like terms: 3x + 2x + 3y - 7y.

Back

5x - 4y

Front

What is the GCF of 5x² + 20x?

Back

5x

Front

Factor by using GCF: 8n³ + 2n².

Back

2n²(4n + 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

What is a common factor?

Back

A common factor is a number that divides two or more numbers without leaving a remainder.

Front

Factor 15x + 30 using the GCF.

Back

15(x + 2)

Front

Combine like terms: 5a + 3b - 2a + 4b.

Back

3a + 7b