finding the greatest common factor l.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Finding The Greatest Common Factor PowerPoint Presentation
Download Presentation
Finding The Greatest Common Factor

Loading in 2 Seconds...

play fullscreen
1 / 13

Finding The Greatest Common Factor - PowerPoint PPT Presentation


  • 752 Views
  • Uploaded on

Finding The Greatest Common Factor. Greatest Common Factor. The greatest common factor is the largest common factor of two numbers. Factors are all of the numbers that divide into a given number equally.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Finding The Greatest Common Factor' - louisa


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
greatest common factor
Greatest Common Factor

The greatest common factor is the largest common factor of two numbers. Factors are all of the numbers that divide into a given number equally.

The greatest common factor can be found by comparing all the factors of two numbers or by finding the prime factorization of two numbers

finding factors
Finding Factors

Finding the factors of a number can be done by sequentially dividing numbers into the product. When the factors begin to repeat you have found all factors.

finding factors4
Finding Factors

Find the factors of 18

1 goes into 18, 18 times.

2 goes into 18, 9 times.

3 goes into 18, 6times.

4 does not divide 18 evenly.

5 does not divide 18 evenly.

We are now back to 6. We have found all factors of 18.

1, 2, 3, 6 and 18

finding the gcf using factors
Finding The GCF Using Factors

Determine the greatest common factor of two numbers by finding all the factors for the two numbers then comparing them. The largest common factor of the two numbers is their greatest common factor.

using factors
Using Factors

Find the GCF of 36 and 24

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18 and 36

Factors of 24: 1, 2, 3, 4, 6, 8, 12 and 24

The greatest common factor is of 36 and 24 is 12

using factors again
Using Factors Again

Find the GCF of 15 and 100

Factors of 15: 1, 3, 5 and 15

Factors of 100: 1, 2, 4, 5, 10, 20, 25,

50 and 100

The greatest common factor of 15 and 100 is 5

finding the prime factorization
Finding the PrimeFactorization

A prime factorization is when a product is broken down until only prime numbers remain. Prime numbers are numbers who’s only factors and 1 and them self. A factor tree is useful in finding a prime factorization.

prime factorization
Prime Factorization

Break 18 down to only prime numbers.

18

/\

  • 9

/\

3 3

18 = 2 × 2 × 3

finding the gcf using prime factorization
Finding the GCF Using Prime Factorization

To determine the greatest common factor find the prime factorization for each number. Find all of the common prime factors of the two numbers and multiply them together. Your sum is the GCF.

using prime factorization
Using Prime Factorization

Find the GCF of 36 and 24

36 24

/\ /\

2 18 2 12

/\ /\

2 9 2 6

/\ /\

3 3 2 3

36= 2×2×3×3 24= 2×2×2×3

The GCF of 36 and 24 is 2×2×3=12

using prime factorization again
Using Prime Factorization Again

Find the GCF of 21 and 42

21 42

/\ /\

3 7 2 21

/\

3 7

21 = 3×7 42 = 2×3×7

The GCF of 21 and 42 is 3×7 = 21

greatest common factor13
Greatest Common Factor

Now you know how to find the greatest common factor you if you have any other questions check out these sites about finding the GCF

Greatest Common Factor

Free Math Help