GCF and Factoring Expressions

Front

What is the GCF of two numbers?

Back

The GCF (Greatest Common Factor) of two numbers is the largest positive integer that divides both numbers 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, then identify the largest factor that appears in both lists.

Front

What is a factor?

Back

A factor is a whole number that can be divided evenly into another number.

Front

What is the GCF of 32 and 48?

Back

16

Front

What is the GCF of 24 and 36?

Back

12

Front

What is the GCF of 30 and 45?

Back

15

Front

How do you factor an expression using the GCF?

Back

To factor an expression using the GCF, first find the GCF of the coefficients, then factor it out from each term.

Front

Factor the expression 18y + 24z using the GCF.

Back

6(3y + 4z)

Front

Factor the expression 15a + 20b using the GCF.

Back

5(3a + 4b)

Front

What is the relationship between GCF and LCM?

Back

The GCF (Greatest Common Factor) and LCM (Least Common Multiple) of two numbers are related by the formula: GCF × LCM = Product of the two numbers.