Greatest Common Factor

Front

What is the Greatest Common Factor (GCF)?

Back

The Greatest Common Factor (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, identify the common factors, and select the largest one.

Front

What is a factor?

Back

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

Front

What are the factors of 14?

Back

The factors of 14 are 1, 2, 7, and 14.

Front

What is the GCF of 24 and 30?

Back

The GCF of 24 and 30 is 6.

Front

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

Back

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

Front

List the common factors of 16 and 24.

Back

The common factors of 16 and 24 are 1, 2, 4, and 8.

Front

What is the relationship between factors and multiples?

Back

Factors are numbers that divide another number evenly, while multiples are the result of multiplying a number by an integer.

Front

How can prime factorization help in finding the GCF?

Back

Prime factorization involves breaking down numbers into their prime factors, which can then be used to identify the GCF by taking the lowest powers of common prime factors.

Front

What is the GCF of 12, 15, and 21?

Back

The GCF of 12, 15, and 21 is 3.