Transcript GCF

GCF
Warm – Up!!
Good Morning! As you walk in,
pick up your calculator and
Unit 6 Guided Notes from the
podium.
Name 3 prime numbers.
What are the factors of 24?
What are the factors of 15?
Prime Numbers and
Composite Numbers
A prime number is a
number that can only be divided by only
one and itself.
A composite number is a number greater
than one that is not prime and has
factors.
Prime or Composite?
89
1.
Prime
2.
Composite
3.
Both
4.
Neither
Prime Factorization: breaking down large
numbers into smaller prime numbers.
Example1) Find the prime factorization of 84.
84 = 4 • 21
=2•2•3•7
= 22 • 3 • 7
Example 2) Find the prime
factorization of -210.
Example 3) Find the
prime factorization of
45a2b3
45a2b3 = 9 • 5 • a • a • b • b •b
= 3•3•5•a•a•b•b•b
= 32 • 5 • a • a • b • b • b
Write the variables without exponents.
What is the prime factorization of
48?
1.
3  16
2.
344
3.
2234
4.
22223
The Greatest Common Factor (GCF) of 2 or
more numbers is
the largest number that can
divide into all of the numbers.
Example 4) Find the GCF of 42
and 60.
Example 4) Find the GCF of 42 and
60.
42 = 2 • 3 • 7
60 = 2 • 2 • 3 • 5
What prime factors do the
numbers have in common?
Multiply those numbers.
The GCF is 2 • 3 = 6
6 is the largest number that
can go into 42 and 60!
What is the GCF of 48 and 64?
1.
2
2.
4
3.
8
4.
16
5) Find the GCF of 40a2b and 48ab4.
40a2b = 2 • 2 • 2 • 5 • a • a • b
48ab4 = 2 • 2 • 2 • 2 • 3 • a • b
•b•b•b
What do they have in common?
Multiply the factors together.
GCF = 8ab
Now Let’s Apply GCF to
Polynomials!!

You Try!!
