Homework Help

How do you calculate the Greatest Common Factor?

user profile pic

imwithstupid1234 | Student, Grade 9 | eNoter

Posted February 29, 2012 at 9:15 AM via web

dislike 1 like

How do you calculate the Greatest Common Factor?

2 Answers | Add Yours

user profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted February 29, 2012 at 9:49 AM (Answer #1)

dislike 0 like

If you need to find the GCF for two numbers , follow the following steps:

1. Factor the numbers to its prime factors.

2. multiply the common primes.

 

Example:

Find the GCF for 36 and 54.

1. Factor both numbers.

36 = 2*2*3*3

54= 2*3*3*3

Now we will multiply the common factors (in bold line).

==> GCF = 2 * 3*3 = 18

Then, the greatest common factor is 18.

 

Example (2);

Find the GCF for 48 and 64.

1. Factor both numbers.

==> 48= 2*2*2*2*3

==> 64 = 2*2*2*2*2*2

2. Choose common primes and multiply.

==> GCF = 2*2*2*2= 16

 

user profile pic

atyourservice | TA , Grade 10 | Valedictorian

Posted August 15, 2014 at 1:09 AM (Answer #2)

dislike 0 like

You find the biggest common number 2 numbers can be divided by.

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes