GCF Short Flashcard

Front

What is the Greatest Common Factor (GCF)?

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

What is the GCF of 24 and 36?

Back

The GCF is 12.

Front

Factor the expression: 56a³ - 8a

Back

8a(7a² - 1)

Front

Factor the expression: 49m³q² - 35mq² - 42m³q⁴p²

Back

7mq²(7m² - 5 - 6m²p²q²)

Front

Factor the expression: 500x³y³ + 1000x²y² + 1500xy

Back

500xy(x²y² + 2xy + 3)

Front

Factor the expression: 2n² - 8n³

Back

-2n²(4n² - 1)

Front

What is the GCF of -24m³n⁵p, 24mn⁴p², and 4mn⁵?

Back

The GCF is 4mn⁴.

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.