Page 140 - Math Course 1 (Book 1)

Greatest Common Factor (GCF)

APPLES APPLES
There are 96 red apples and 72 green There are 96 red apples and 72 green apples to be
apples to be placed in baskets. If the placed in baskets. How many red apples and green
apples are arranged in baskets, and apples will be in each basket?
each basket has the same number of red apples
and the same number of green apples, what is the A. 8 red apples, 6 green apples
largest number of baskets possible? B. 4 red apples, 3 green apples
C. 24 red apples, 18 green apples
A. 4 baskets D. 16 red apples, 12 green apples
B. 12 baskets
C. 6 baskets
D. 24 baskets

Answer Answer

MO. 4 - L4b

Factoring Algebraic Let’s Begin

Expressions

Find the GCF of Monomials Factor Expressions

Example Example

2
3 2
Find the GCF of 18x y and 42xy . Factor 3x + 12.
Completely factor each expression. First, f nd the GCF of 3x and 12.
3x = 3 • x
3 2
18x y = 2 • 3 • 3 • x • x • x • y • y 12 = 2 • 2 • 3 The GCF is 3.
2
42xy = 2 • 3 • 7 • x • y • y Now, write each term as a product of the GCF and
its remaining factors.
Circle the common factors. 3x + 12 = 3(x) + 3(4)
= 3(x + 4) Distributive Property

3 2
2
The GCF of 18x y and 42xy is
Answer 2 Answer 3x + 12 = 3(x + 4)
2 • 3 • x • y • y or 6xy .

Your Turn!

Find the GCF of Monomials

4
3 2
Find the GCF of 32mn and 80m n . Factor 4x + 20.
A. 4mn 2 A. 2(2x + 10)
B. 4(x + 20)
B. 16mn 2 C. 4(x + 5)
2 4
C. 16m n D. 2(x + 10)
D. 8mn 2

Answer Answer

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