Greatest Common Factor

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides two or more 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

What is the GCF of 24 and 60?

Back

12

Front

What is the GCF of 48 and 84?

Back

12

Front

What is the GCF of 32 and 40?

Back

8

Front

What is the GCF of 36 and 24?

Back

12

Front

What is the GCF of 8 and 24?

Back

8

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 prime factorization?

Back

The GCF can be found by multiplying the lowest powers of all prime factors common to the numbers.

Front

Can the GCF of two numbers be greater than either of the numbers?

Back

No, the GCF cannot be greater than the smallest of the two numbers.