Greatest Common Factor

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides each of the given integers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

1. List the factors of each number. 2. Identify the common factors. 3. Choose the largest common factor.

Front

What is the GCF of 12 and 18?

Back

The GCF is 6.

Front

What is the GCF of 24 and 36?

Back

The GCF is 12.

Front

What is the GCF of the monomials a^2b^5 and a^3b^3?

Back

The GCF is a^2b^3.

Front

How do you factor out the GCF from a polynomial?

Back

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

Front

Factor the polynomial: 12t^3 + 30t^2 + 48t

Back

The GCF is 6t, so it factors to 6t(2t^2 + 5t + 8).

Front

What is the GCF of the polynomial 24x^9 - 36x^6 + 60x^3?

Back

The GCF is 6x^3.

Front

Factor out the GCF from: -36x^2y - 18xy^2 + 6xy

Back

The GCF is -6xy, so it factors to -6xy(6x + 3y - 1).

Front

What is the GCF of 15, 25, and 35?

Back

The GCF is 5.