Finding the Greatest Common Factor

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides all the numbers in a given set without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

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

Front

Find the GCF of 12 and 30.

Back

6

Front

Find the GCF of 28 and 40.

Back

4

Front

Find the GCF of 15 and 35.

Back

5

Front

Find the GCF of 18 and 24.

Back

6

Front

What is a factor?

Back

A factor is a whole number that can be divided evenly into another number.

Front

What is the relationship between GCF and LCM?

Back

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

Front

How can prime factorization help in finding the GCF?

Back

By breaking down numbers into their prime factors, you can easily identify the common factors and multiply them to find the GCF.

Front

What is the prime factorization of 12?

Back

2 x 2 x 3 (or 2^2 x 3)