# Greatest Common Factor (GCF) - PowerPoint PPT Presentation

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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)

### 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?

• 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!

• 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

• 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!

• Find the GCF of the following sets of numbers

• A) 36, 48

• B) 45, 24

• C) 15, 32