Greatest Common Factor

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides all the given numbers 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 and identify the largest factor that appears in both lists.

Front

What is the GCF of 14 and 22?

Back

The GCF of 14 and 22 is 2.

Front

What is the GCF of 25, 75, and 200?

Back

The GCF of 25, 75, and 200 is 25.

Front

What is the GCF of 20 and 30?

Back

The GCF of 20 and 30 is 10.

Front

What is the GCF of 12 and 28?

Back

The GCF of 12 and 28 is 4.

Front

What is the GCF of 8 and 10?

Back

The GCF of 8 and 10 is 2.

Front

What is the prime factorization method for finding the GCF?

Back

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

Front

Can the GCF be greater than the smallest number in the set?

Back

No, the GCF cannot be greater than the smallest number in the set of numbers being considered.

Front

What is the relationship between GCF and LCM (Least Common Multiple)?

Back

The product of the GCF and LCM of two numbers is equal to the product of the two numbers.