GCF and LCM of Monomials

Front

What is the greatest common factor (GCF)?

Back

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

Front

How do you find the GCF of monomials?

Back

To find the GCF of monomials, identify the common factors in the coefficients and the lowest powers of the variables.

Front

What is the GCF of 10b² and 10?

Back

10

Front

What is the GCF of 28y² and 49y²?

Back

7y²

Front

Find the GCF of 5x²y and 15xy²z.

Back

5xy

Front

Find the GCF of 6u³v³w and 30u⁴v²w.

Back

6u³v²w

Front

What is the GCF of 7x³y and 14x⁴y²?

Back

7x³y

Front

What is the relationship between GCF and LCM?

Back

The GCF is the largest factor common to two or more numbers, while the LCM is the smallest multiple common to those numbers.

Front

How can you use prime factorization to find the GCF?

Back

List the prime factors of each number, then multiply the lowest powers of all common prime factors.

Front

What is the GCF of 12 and 18?

Back

6