GCF and LCM

Front

What does GCF stand for in mathematics?

Back

GCF stands for Greatest Common Factor, which is the largest positive integer that divides all the given numbers without leaving a remainder.

Front

What does LCM stand for in mathematics?

Back

LCM stands for Least Common Multiple, which is the smallest positive integer that is a multiple of all the given numbers.

Front

How do you find the GCF of two numbers?

Back

To find the GCF of two numbers, list the factors of each number and identify the largest factor that appears in both lists.

Front

How do you find the LCM of two numbers?

Back

To find the LCM of two numbers, list the multiples of each number and identify the smallest multiple that appears in both lists.

Front

What is the GCF of 12 and 16?

Back

The GCF of 12 and 16 is 4.

Front

What is the LCM of 4 and 5?

Back

The LCM of 4 and 5 is 20.

Front

What is the relationship between GCF and LCM?

Back

The product of the GCF and LCM of two numbers is equal to the product of the two numbers.

Front

What are the prime factors of 30?

Back

The prime factors of 30 are 2, 3, and 5.

Front

How can you use prime factorization to find the GCF?

Back

To find the GCF using prime factorization, break down each number into its prime factors and multiply the lowest powers of common prime factors.

Front

How can you use prime factorization to find the LCM?

Back

To find the LCM using prime factorization, break down each number into its prime factors and multiply the highest powers of all prime factors present.