GCF of monomials

Front

What is the definition of the greatest common factor (GCF)?

Back

The greatest common factor (GCF) of two or more numbers or monomials is the largest factor that divides each of the numbers or monomials without leaving a remainder.

Front

How do you find the GCF of two monomials?

Back

To find the GCF of two monomials, identify the common variables and their lowest powers, and also find the GCF of their numerical coefficients.

Front

What is the GCF of the coefficients 12 and 18?

Back

The GCF of 12 and 18 is 6.

Front

What is the GCF of the monomials 4x^3 and 8x^2?

Back

The GCF of 4x^3 and 8x^2 is 4x^2.

Front

What is the GCF of the monomials 5a^2b and 15ab^3?

Back

The GCF of 5a^2b and 15ab^3 is 5ab.

Front

How do you find the GCF of three monomials?

Back

To find the GCF of three monomials, find the GCF of their coefficients and the common variables with the lowest powers among the three.

Front

What is the GCF of 30b^4, 45b^2, and 60b^3?

Back

The GCF of 30b^4, 45b^2, and 60b^3 is 15b^2.

Front

What is the GCF of the monomials 2x^2, 6x, and 4x^3?

Back

The GCF of 2x^2, 6x, and 4x^3 is 2x.

Front

What is the GCF of the expressions (x-2y)^7, (x-2y)^2, and (x-2y)^3?

Back

The GCF of (x-2y)^7, (x-2y)^2, and (x-2y)^3 is (x-2y)^2.

Front

What role do coefficients play in finding the GCF of monomials?

Back

Coefficients are the numerical parts of the monomials, and finding the GCF of the coefficients is essential to determine the overall GCF of the monomials.