Greatest Common Factor

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides all the given numbers 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

GCF of 12 and 28?

Back

4

Front

GCF of 18 and 24?

Back

6

Front

GCF of 50 and 100?

Back

50

Front

What are the factors of 24?

Back

1, 2, 3, 4, 6, 8, 12, 24

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 (Greatest Common Factor) is the largest factor shared by two or more numbers, while the LCM (Least Common Multiple) is the smallest multiple shared by those numbers.

Front

Can the GCF of two prime numbers be greater than 1?

Back

No, the GCF of two prime numbers is always 1, since they have no common factors other than 1.

Front

What is the GCF of 30 and 45?

Back

15