Greatest Common Factor (GCF)

Front

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

Back

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

Front

How do you find the GCF of two numbers?

Back

To find the GCF of two numbers, list the factors of each number, identify the common factors, and select the largest one.

Front

What is the GCF of 20 and 30?

Back

10

Front

What is the GCF of 8, 10, 12, and 20?

Back

2

Front

List the common factors of 9 and 12.

Back

1, 3

Front

What is the GCF of 9 and 15?

Back

3

Front

What are the common factors of 7 and 21?

Back

1, 7

Front

Explain why the GCF is important in simplifying fractions.

Back

The GCF is used to simplify fractions by dividing both the numerator and denominator by their GCF, resulting in the simplest form.

Front

What is the relationship between GCF and prime factorization?

Back

The GCF can be found using prime factorization by identifying the common prime factors and multiplying them together.

Front

How can the GCF be used in solving word problems involving ratios?

Back

The GCF can help simplify ratios to their lowest terms, making it easier to compare quantities.