Prime Factorization, GCF & LCM

Front

What is Prime Factorization?

Back

Prime Factorization is the process of breaking down a number into its prime factors, which are the prime numbers that multiply together to give the original number.

Front

What is the GCF (Greatest Common Factor)?

Back

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

Front

What is the LCM (Least Common Multiple)?

Back

The LCM of two or more numbers is the smallest number that is a multiple of all of them.

Front

Find the LCM of 4 and 5.

Back

20

Front

Find the GCF of 12 and 16.

Back

4

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 numbers themselves.

Front

How do you find the GCF using prime factorization?

Back

1. Find the prime factorization of each number. 2. Identify the common prime factors. 3. Multiply the lowest powers of these common factors.

Front

How do you find the LCM using prime factorization?

Back

1. Find the prime factorization of each number. 2. Identify all prime factors, using the highest power of each. 3. Multiply these together.

Front

What is a prime number?

Back

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Front

List the first five prime numbers.

Back

2, 3, 5, 7, 11