Greatest Common Factor and Factoring GCF

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

To find the GCF, list the factors of each number and identify the largest factor that appears in both lists.

Front

What is a factor?

Back

A factor is a number that divides another number evenly, without leaving a remainder.

Front

What is the GCF of 12 and 27?

Back

The GCF of 12 and 27 is 3.

Front

Factor the expression: x^2 - 5x

Back

x(x - 5) is the factored form.

Front

Factor the expression: w^3 + 3w

Back

w(w^2 + 3) is the factored form.

Front

What is the GCF of 10a^2b^3 and 20a^2b^2?

Back

The GCF is 10a^2b^2.

Front

Factor the expression: 2n^2 - 8n^3

Back

2n^2(1 - 4n) is the factored form.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term.