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 15 and 35?

Back

5

Front

What is the GCF of 36 and 99?

Back

9

Front

What is the GCF of 15 and 36?

Back

3

Front

What is the GCF of 28 and 49?

Back

7

Front

What is the GCF of 10 and 50?

Back

10

Front

Can the GCF of two numbers be greater than either of the numbers?

Back

No, the GCF cannot be greater than the smallest of the two numbers.

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

How can the GCF be used in simplifying fractions?

Back

The GCF of the numerator and denominator can be used to reduce the fraction to its simplest form.