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 are factors?

Back

Factors are numbers that can be multiplied together to get another number.

Front

Find the GCF of 8 and 20.

Back

4

Front

Find the GCF of 20 and 30.

Back

10

Front

Find the GCF of 18 and 24.

Back

6

Front

List the factors of 24.

Back

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

Front

Find the GCF of 15 and 36.

Back

3

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

Why is finding the GCF important?

Back

Finding the GCF is important for simplifying fractions, solving problems involving ratios, and finding common denominators.