GCF

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

List the factors of each number and identify the largest factor they have in common.

Front

What are factors?

Back

Factors are numbers that can be multiplied together to get another number.

Front

List the factors of 15.

Back

1, 3, 5, 15

Front

What is the GCF of 12 and 18?

Back

The GCF is 6.

Front

What is the GCF of 8 and 12?

Back

The GCF is 4.

Front

If the GCF of two numbers is 1, what does that mean?

Back

It means the two numbers are coprime, having no common factors other than 1.

Front

What is the relationship between GCF and LCM?

Back

The GCF is used to find the Least Common Multiple (LCM) of two numbers using the formula: GCF × LCM = Product of the numbers.

Front

What is an example of finding the GCF using prime factorization?

Back

For 24 (2^3 × 3) and 36 (2^2 × 3^2), the GCF is 2^2 × 3 = 12.

Front

What is the GCF of 30 and 45?

Back

The GCF is 15.