Greatest Common Factor

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides two or more integers 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 12 and 18.

Back

The GCF of 12 and 18 is 6.

Front

What is the relationship between GCF and multiples?

Back

The GCF is related to multiples because it is the largest factor common to the multiples of the given 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 24, 36, and 60?

Back

The GCF of 24, 36, and 60 is 12.

Front

How does the GCF help in simplifying fractions?

Back

The GCF helps in simplifying fractions by dividing both the numerator and denominator by their GCF.

Front

What is the GCF of 15 and 25?

Back

The GCF of 15 and 25 is 5.

Front

Explain the prime factorization method for finding GCF.

Back

The prime factorization method involves breaking down each number into its prime factors and multiplying the common prime factors.