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Greatest Common Factor (GCF)PowerPoint Presentation

Greatest Common Factor (GCF)

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Greatest Common Factor (GCF)

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Greatest Common Factor (GCF)

- 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.

- 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.

- 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

- 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

- Find the GCF of the following sets of numbers
- A) 36, 48
- B) 45, 24
- C) 15, 32