GCF & Distributive Property

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you find the GCF of 16 and 24?

Back

List the factors: Factors of 16 are 1, 2, 4, 8, 16; Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. The GCF is 8.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac.

Front

Using the Distributive Property, what is 5(2 + 3)?

Back

5(2 + 3) = 5*2 + 5*3 = 10 + 15 = 25.

Front

If you have 24 + 30, how can you use GCF to simplify it?

Back

The GCF of 24 and 30 is 6. So, 24 + 30 = 6(4 + 5).

Front

What is an equivalent expression for 8(3 + 4)?

Back

8(3 + 4) = 8*3 + 8*4 = 24 + 32.

Front

How do you apply the Distributive Property to 10(2 + 5)?

Back

10(2 + 5) = 10*2 + 10*5 = 20 + 50 = 70.

Front

What is the GCF of 12 and 18?

Back

The GCF of 12 and 18 is 6.

Front

If Sara has 16 red flowers and 24 yellow flowers, how many bouquets can she make?

Back

She can make 8 bouquets, using the GCF of 16 and 24.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components that, when multiplied together, give the original expression.