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10/10/2011
2-5 Greatest Common Factor
Example 2A: Using Prime Factorization to Find the GCF
Find the greatest common factor (GCF) of 40 and 56.
2-5 Greatest Common Factor
Example 2B: Using Prime Factorization to Find the GCF
Find the greatest common factor (GCF).
B. 252, 180, 96, 60
40 = 2 · 2 · 2 · 5
56 = 2 · 2 · 2 · 7
2·2·2=8
Write the prime factorization of
each number and circle the
common factors.
252 = 2 · 2 · 3 · 3 · 7
180 = 2 · 2 · 3 · 3 · 5
Write the prime factorization
of each number and circle
the common prime factors.
96 = 2 · 2 · 2 · 2 · 2 · 3
Multiply the common prime factors.
60 = 2 · 2 · 3 · 5
The GFC is 8.
2 · 2 · 3 = 12
Multiply the common prime
factors.
The GCF is 12.
Course 2
Course 2
2-5 Greatest
Insert Lesson
Common
TitleFactor
Here
2-5 Greatest
Insert Lesson
Common
TitleFactor
Here
Lesson Quiz: GCF
Example 2C: Using Prime Factorization to Find the GCF
Find the greatest common factor (GCF).
Show work, then check!
C. 360, 250, 170, 40
360 = 2 · 2 · 2 · 3 · 3 · 5
250 = 2 · 5 · 5 · 5
Write the prime factorization
of each number and circle
the common prime factors.
170 = 2 · 5 · 17
40 = 2 · 2 · 2 · 5
2 · 5 = 10
The GCF is 10.
Course 2
Find the greatest common factor (GCF).
Multiply the common prime
factors.
1. 28, 40
Answer: 4
2. 24, 56
Answer: 8
3. 54, 99
Answer: 9
4. 20, 35, 70
Answer: 5
Course 2
1
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