GCF of Polynomials: Pre-Factoring Practice on Finding the GCF

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 two monomials?

Back

1. Factor each monomial into its prime factors. 2. Identify the common factors. 3. Multiply the common factors together.

Front

Find the GCF of 36 and 24.

Back

The GCF is 12.

Front

What is the GCF of the polynomials 36a^2 + 24a?

Back

The GCF is 12a.

Front

Determine the GCF of 36ab^2 and 48a^2b.

Back

The GCF is 12ab.

Front

What is the GCF of the polynomial 2x^2 - 4x + 8?

Back

The GCF is 2.

Front

Find the GCF of 5x^2 + 20x.

Back

The GCF is 5x.

Front

What is the GCF of 12c^2 - 20a^2?

Back

The GCF is 4.

Front

How do you factor out the GCF from a polynomial?

Back

1. Identify the GCF. 2. Divide each term of the polynomial by the GCF. 3. Write the polynomial as the product of the GCF and the resulting polynomial.

Front

What is the GCF of the terms 15x^3 and 25x^2?

Back

The GCF is 5x^2.