Lesson 7-1 Factors and Greatest Common Factors Obj: The student will be able to 1) Write the prime factorization of numbers 2) Find the GCF of monomials HWK: p 459 17-35 all, 36(Journal), 63, 64 Vocab: 1) prime factorization 2) greatest common factor

Write the prime factorization of each number Ex 1) 40 Ex 2) 19 Ex 3) 1125

Three ways to find GCF Listing – must list ALL factors Prime factorization – use lowest power of each common factor “Box” method – divide until nothing else goes into both numbers, then multiply down the side (this only works for 2 numbers)

Find the GCF of each pair of numbers Ex 4) 24 and 60

Ex 5) 273 and 225

Ex 6) 18g² and 27g³

Ex 7) 36ab² and 81b Ex 8) 8x and 7v²

Ex 9) Adrianne is shopping for a CD storage unit Ex 9) Adrianne is shopping for a CD storage unit. She has 36 CD’s by pop music artists and 48 CD’s by country music artists. She wants to put the same number of CD’s on each shelf without putting pop music and country music CD’s on the same shelf. If Adrianne puts the greatest possible number of CD’s on each shelf, how many shelves does her storage unit need?