Review greatest common factors (GCF) and try some practice problems.
What is GCF?
GCF stands for greatest common factor. The greatest common factor of two numbers is the greatest number that is a factor of both of them.
Finding greatest common factor
One way to find the GCF of two (or more!) numbers is to list the factors of each number and find the greatest factor they have in common.
Want to learn more about greatest common factors? Check out this video.
Example: GCF of and
Factors of :
Factors of :
and are common factors of and . Which of these is the greatest?
is the greatest factor that and have in common.
What is the greatest common factor of and ?
Another way to say this is:
Want to try more problems like this? Check out this exercise.
Want to join the conversation?
- are factor and divisor the same thing?(16 votes)
- this is comfusing can you help(8 votes)
- some body said to use the Euclidean Algorithm, but I have no idea what that is :gcd( 118, 204 )
= gcd ( 118, 204 - 118 )
= gcd ( 118, 86 )
= gcd ( 118 - 86, 86 )
= gcd ( 32, 86 )
= gcd ( 32, 86 - 32 )
= gcd ( 32, 54 )
= gcd ( 32, 54 - 32 )
= gcd ( 32, 22 )
= gcd ( 10, 22 )
= gcd ( 10, 2 )
-Like whaaaaaaaat? I just you my brain so can some body please tell me: WHAT IS THIS?(7 votes)
- why do i hate math(0 votes)
- How do i not know this?! 😰(4 votes)
- what is the difference between a factor and a denominator?(0 votes)
- The difference is that a factor is a number that goes with another number that can multiply and make it. A denominator is the bottom number of a fraction. It divides the numerator which is the top.(8 votes)
- How Do You do this I am so confused on it I only got 3 out of 7 right(5 votes)
- where do i find more gcf practice(2 votes)