Greatest common factor gcf
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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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Greatest Common Factor (GCF)

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Greatest common factor gcf

Greatest Common Factor (GCF)


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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