Module 7.2

Front

What is the Greatest Common Factor (GCF)?

Back

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

Front

How do you find the GCF of 18k and 15k^3?

Back

To find the GCF, identify the common factors: GCF(18, 15) = 3 and the lowest power of k, which is k. Thus, GCF = 3k.

Front

Factor the expression 18a^2 - 15a using GCF.

Back

The GCF is 3a, so factoring gives: 3a(6a - 5).

Front

What is the process to factor an expression using GCF?

Back

1. Identify the GCF of all terms. 2. Divide each term by the GCF. 3. Write the expression as the GCF multiplied by the result.

Front

What is the GCF of 24 and 36?

Back

The GCF of 24 and 36 is 12.

Front

How do you factor the expression 12x^2 + 8x?

Back

The GCF is 4x, so factoring gives: 4x(3x + 2).

Front

What is the GCF of 45m^2 and 30m^3?

Back

The GCF is 15m^2.

Front

Factor the expression 20y^3 - 15y^2 using GCF.

Back

The GCF is 5y^2, so factoring gives: 5y^2(4y - 3).

Front

What is the GCF of 50 and 75?

Back

The GCF of 50 and 75 is 25.

Front

How do you find the GCF of multiple terms, such as 8x, 12x^2, and 16x^3?

Back

The GCF is 4x.