Greatest Common Factor (GCF)

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF of two or more integers is the largest positive integer that divides each of the integers without leaving a remainder.

Front

How do you find the GCF of two numbers using prime factorization?

Back

1. Factor each number into its prime factors. 2. Identify the common prime factors. 3. Multiply the lowest powers of these common factors to find the GCF.

Front

What is the GCF of 40 and 32?

Back

8

Front

What is the GCF of 21 and 28?

Back

7

Front

What is the GCF of 15 and 36?

Back

3

Front

What is the GCF of 36 and 99?

Back

9

Front

What is the GCF of 99 and 54?

Back

9

Front

How can the GCF be used in real-life applications?

Back

The GCF can be used to determine how to evenly distribute items into groups, such as forming teams with the same number of participants.

Front

What is the relationship between GCF and LCM (Least Common Multiple)?

Back

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

Front

What is the GCF of 12, 15, and 21?

Back

3