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Greatest Common Factor (GCF). We learned in previous years…. What prime factorization is. For example the prime factorization of 24 = 2•2•2•3 Today we will learn how to find the greatest common factor of two quantities. What is greatest common factor? How do we find it?.

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Presentation Transcript
we learned in previous years
We learned in previous years…
  • What prime factorization is.
  • For example the prime factorization of

24= 2•2•2•3

  • Today we will learn how to find the greatest common factor of two quantities.
what is greatest common factor how do we find it
What is greatest common factor? How do we find it?
  • Greatest common factor or GCF is the largest factor that the two numbers have in common. For example, the greatest common factor of 12 and 18 is 6.
  • The way we find it is by using prime factorization and circling common prime factors.
let s show off our skills
Let’s show off our skills!
  • Find the GCF of 24 and 32
  • Step 1: Find the prime factorization of each number

24 = 2•2•2•3

32 = 2•2•2•2•2

  • Step 2: Circle common prime factors
  • Step 3: Multiply common factors
  • GCF = 2•2•2 = 8
let s try another example
Let’s try another example
  • Find the GCF of 72 and 48
  • Step 1: Find the prime factorization of each number

72 = 2•2•2•3•3

48 = 2•2•2•2•3

  • Step 2: Circle common prime factors
  • Step 3: Multiply common factors
  • GCF = 2•2•2•3 = 24
let s practice
Let’s practice!
  • Find the GCF of the following sets of numbers
  • A) 36, 48
  • B) 45, 24
  • C) 15, 32
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