GCF and LCM

Front

What is a factor?

Back

A factor is a number that divides another number without leaving a remainder. For example, 2 is a factor of 10 because 10 ÷ 2 = 5.

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest number that can divide two or more numbers without leaving a remainder. For example, the GCF of 32 and 40 is 8.

Front

What is a multiple?

Back

A multiple is the result of multiplying a number by an integer. For example, the multiples of 5 are 5, 10, 15, 20, etc.

Front

What is the Least Common Multiple (LCM)?

Back

The LCM is the smallest number that is a multiple of two or more numbers. For example, the LCM of 8 and 5 is 40.

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 they have in common.

Front

How do you find the LCM of two numbers?

Back

To find the LCM, list the multiples of each number and identify the smallest multiple they have in common.

Front

Is 32 an odd or even number?

Back

32 is an even number because it can be divided by 2 without a remainder.

Front

What are prime numbers?

Back

Prime numbers are numbers greater than 1 that have no positive divisors other than 1 and themselves. For example, 2, 3, 5, and 7 are prime numbers.

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. For example, GCF(8, 12) * LCM(8, 12) = 8 * 12.

Front

What is the GCF of 12 and 18?

Back

The GCF of 12 and 18 is 6.