GCF of Monomials

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 monomials?

Back

1. Factor each monomial into its prime factors and variables. 2. Identify the common factors. 3. Multiply the common factors together to find the GCF.

Front

What is the GCF of 28y² and 49y²?

Back

7y²

Front

What is the GCF of 10b² and 10?

Back

10

Front

What is the GCF of 18xy³ and 25x³y²?

Back

xy²

Front

What is the GCF of 30x and 56x²?

Back

2x

Front

What is the GCF of 48x² and 32x³?

Back

16x²

Front

If a monomial has a coefficient of 0, what is its GCF with any other monomial?

Back

The GCF is 0, since 0 is a factor of every number.

Front

What is the GCF of two identical monomials, such as 5x and 5x?

Back

The GCF is the monomial itself, which is 5x.

Front

How does the degree of the variable affect the GCF of monomials?

Back

The GCF takes the lowest degree of each variable present in the monomials.