Identifying The GCF

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest positive integer that divides each of the given integers 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 that appears in both lists.

Front

What is the GCF of 8x^2 and 4x?

Back

4x

Front

What is the GCF of 20 and 9?

Back

1 (they are coprime numbers).

Front

What is the GCF of 24xy^2, 36x^3y^5z, and 18x^2y^3z^2?

Back

6xy^2

Front

What is the GCF of 20, 44, and 88?

Back

4

Front

What does GCF stand for?

Back

Greatest Common Factor.

Front

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

Back

The two numbers are coprime, meaning they have no common factors other than 1.

Front

How can prime factorization help in finding the GCF?

Back

By breaking down each number into its prime factors, you can identify the common prime factors and multiply them to find the GCF.

Front

What is the GCF of 12 and 30?

Back

6