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, list the factors of each number and identify the largest factor that appears in both lists.

Front

GCF of 32 and 40?

Back

8

Front

GCF of 35 and 47?

Back

1

Front

What is the GCF of 28 and 49?

Back

7

Front

What is a factor?

Back

A factor is a number that divides another number evenly, without leaving a remainder.

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

Factor completely: 14g^5 - 21g^7

Back

7g^5(2 - 3g^2)

Front

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

Back

3

Front

What is the GCF of 18 and 24?

Back

6