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

Find the GCF of 21 and 28.

Back

7

Front

What is the GCF of 8 and 10?

Back

2

Front

GCF of 9 and 36?

Back

9

Front

Find the greatest common factor of 30 and 36.

Back

6

Front

List all the factors of 12.

Back

1, 2, 3, 4, 6, 12

Front

What is a factor?

Back

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

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

If two numbers have no common factors other than 1, what is their GCF?

Back

The GCF is 1, and the numbers are called coprime.