Math 10 Name: Unit 1: Factoring (Day 1)

Greatest Common Factor and Least Common Multiple

Learning Intention(s):

Use factoring to determine GCF and LCM

Vocabulary:

1) Prime Factor

2) Prime Factorization

3) Greatest Common Factor

4) Least Common Multiple

Example 1: Determine the Prime Factors of a Whole Number

Method: Factor Tree – Write the Prime Factorization for 3300

Example 2: Greatest Common Factor of 138 and 198

Methods:

1) List factors

2) Circle common factors

3) Choose the greatest one, common to each

Method 2

Use Prime Factorization

Example 3: Least Common Multiple of 18, 20 and 30

Methods:

1) List Multiples

2) Use Prime Factorization

Example 4: Problem Solving Using GCF and LCM

a) What is the side length of the smallest square that could be tiled with rectangles that

measure 16 cm by 40cm?

b) What is the side length of the largest square that could be used to tile a rectangle that

measures 16 cm by 40 cm?

Homework: 1.2 # 5odd, 8-10odd, 12-15