GCF factoring

Front

What does GCF stand for in mathematics?

Back

GCF stands for Greatest Common Factor, which is the largest positive integer that divides all the given numbers without leaving a remainder.

Front

How do you find the GCF of two or more numbers?

Back

To find the GCF, list the factors of each number, identify the common factors, and choose the largest one.

Front

What is the GCF of 12 and 16?

Back

The GCF of 12 and 16 is 4.

Front

What is the GCF of 18 and 24?

Back

The GCF of 18 and 24 is 6.

Front

What is the relationship between GCF and LCM?

Back

The product of the GCF and LCM of two numbers is equal to the product of the numbers themselves.

Front

What is the LCM of 6 and 8?

Back

The LCM of 6 and 8 is 24.

Front

How do you factor an expression like 10x + 15?

Back

To factor 10x + 15, find the GCF of the coefficients (10 and 15), which is 5, and factor it out: 5(2x + 3).

Front

What is the GCF of the expression 3x^2 - 2x?

Back

The GCF of the expression 3x^2 - 2x is x.

Front

What is the first step in factoring a polynomial?

Back

The first step in factoring a polynomial is to find the GCF of all the terms.

Front

Can the GCF be a variable?

Back

Yes, the GCF can include variables if they are common to all terms in the expression.