Greatest Common Factor

Front

What is the definition of the Greatest Common Factor (GCF)?

Back

The Greatest Common Factor (GCF) is the largest positive integer that divides all the given numbers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

To find the GCF of two numbers, list the factors of each number, identify the common factors, and select the largest one.

Front

What is the GCF of 8 and 24?

Back

8

Front

What is the GCF of 16 and 18?

Back

2

Front

What is the GCF of 12 and 48?

Back

12

Front

What is the GCF of 35 and 42?

Back

7

Front

Can the GCF of two prime numbers be greater than 1?

Back

No, the GCF of two prime numbers is always 1, as they have no common factors other than 1.

Front

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

Back

The GCF and LCM of two numbers are related by the equation: GCF(a, b) × LCM(a, b) = a × b.

Front

What is the GCF of a number and itself?

Back

The GCF of a number and itself is the number itself.

Front

How does the GCF apply to simplifying fractions?

Back

The GCF is used to simplify fractions by dividing both the numerator and the denominator by their GCF.