GCF and LCM

Front

What is the definition of GCF (Greatest Common Factor)?

Back

The GCF of two or more numbers is the largest positive integer that divides each of the numbers without leaving a remainder.

Front

What is the definition of LCM (Least Common Multiple)?

Back

The LCM of two or more numbers is the smallest positive integer that is divisible by each of the numbers.

Front

How do you find the GCF of two numbers using prime factorization?

Back

1. Find the prime factorization of each number. 2. Identify the common prime factors. 3. Multiply the common prime factors together to get the GCF.

Front

How do you find the LCM of two numbers using prime factorization?

Back

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

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

What is the prime factorization of 48?

Back

The prime factorization of 48 is 2 x 2 x 2 x 2 x 3 or 2^4 x 3.

Front

What is the GCF of 64 and 144?

Back

The GCF of 64 and 144 is 16.

Front

What is the LCM of 2, 4, and 6?

Back

The LCM of 2, 4, and 6 is 12.

Front

What is the least common multiple (LCM) of 4 and 10?

Back

The LCM of 4 and 10 is 20.

Front

What is a factor tree?

Back

A factor tree is a diagram used to break down a number into its prime factors.