Greatest Common Factor

Front

What does GCF mean?

Back

Greatest Common Factor

Front

How do you find the GCF of two numbers?

Back

List the factors of each number and identify the largest factor that appears in both lists.

Front

What is the GCF of 8 and 24?

Back

8

Front

What is the greatest common factor of 18 and 27?

Back

9

Front

What is the GCF of 16 and 18?

Back

2

Front

What is the greatest common factor of 35 and 47?

Back

1

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 both 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.

Front

What is the GCF of two consecutive integers?

Back

1, because consecutive integers have no common factors other than 1.

Front

How does the GCF relate to fractions?

Back

The GCF can be used to simplify fractions by dividing the numerator and denominator by their GCF.