1. Factoring using GCF interpret parts of an expressions such as terms, factors, and coefficient

2. What is a factor? Lets recall the factors of 36:

3. What is a factor? You list the factors of 12:

4. What are the common factors of 12 and 36?

5. Example 1 Find the GCF of 30 and 42 For two or more nonzero whole numbers, a common factor is a whole number that is a factor of each number. The greatest common factor (GCF) of two or more nonzero whole numbers is the greatest of their common factors.

6. Caution : Do not confuse GCF with LCM. Example 2  Find the LCM of 10 and 15 A multiple of a whole number is the product of the number and any nonzero whole number. A common multiple of two or more whole numbers is a multiple of each number. The least common multiple (LCM) of two or more whole numbers is the least of their common multiples.

7. Also recall that, when factoring,... A prime number is A composite number is

8. Now lets apply GCF to polynomials:  Given the polynomial 2x + 10, determine the GCF. Example 3

9. Now lets apply GCF to polynomials:  Given the polynomial 6x-2y, determine the GCF.

10. Now lets apply GCF to polynomials:  Given the polynomial 2x 2 + 6x, determine the GCF.

11. Now lets apply GCF to polynomials:  Given the polynomial Find the GCF of 40a 2 b and 48ab 4, determine the GCF.

12. Determine the GCF for each of the following: 1. 2. 3. 4. 5.

13. Now let’s factor  Factor 7x+14 using the GCF Example 4

14.  Factor 9x - 33 using the GCF

15.  Factor x 2 + 8x using the GCF

16. Example 5 Factor using GCF

17. Factor these on your own looking for a GCF. 6. 7. 8.