Greatest Common Factor

Front

What does GCF stand for in mathematics?

Back

GCF stands for Greatest Common Factor.

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 a factor?

Back

A factor is a whole number that can be divided evenly into another number.

Front

What is the GCF of 8 and 10?

Back

The GCF of 8 and 10 is 2.

Front

List all the factors of 12.

Back

The factors of 12 are 1, 2, 3, 4, 6, and 12.

Front

What is the GCF of 21 and 28?

Back

The GCF of 21 and 28 is 7.

Front

What is the GCF of 30 and 36?

Back

The GCF of 30 and 36 is 6.

Front

How can prime factorization help in finding the GCF?

Back

Prime factorization helps in finding the GCF by breaking down each number into its prime factors and then multiplying the lowest powers of common prime factors.

Front

What is the relationship between GCF and LCM?

Back

The relationship is given by the formula: GCF(a, b) × LCM(a, b) = a × b.

Front

What is the GCF of a number and itself?

Back

The GCF of a number and itself is the number itself.