Greatest Common Factor

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 14 and 22?

Back

2

Front

What is the GCF of 8 and 10?

Back

2

Front

What is the GCF of 20 and 30?

Back

10

Front

What is the GCF of 12 and 28?

Back

4

Front

What is the GCF of 16 and 18?

Back

2

Front

What method can be used to find the GCF of two numbers besides prime factorization?

Back

The Euclidean algorithm can be used, which involves repeated division.

Front

What is the GCF of 36 and 60?

Back

12

Front

How does the GCF relate to the Least Common Multiple (LCM)?

Back

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