Greatest Common Factor (GCF)

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# Greatest Common Factor (GCF) - PowerPoint PPT Presentation

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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## PowerPoint Slideshow about ' Greatest Common Factor (GCF)' - rhoswen-ledwidge

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Presentation Transcript

### 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