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
What is the greatest common factor of
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?(21 votes)
- What is a quicker way to do this?(9 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?(12 votes)
- Don't use the Euclidean Algorithm because while it does work, it is inefficient and mistakes will most likely happen around the middle. Try using prime factorization instead. it is much faster than using the Euclidean Algorithm.(4 votes)
- this is comfusing can you help(9 votes)
- why do i hate math(0 votes)
- never going to do this again(4 votes)
- hello cool beans this is 2023 i am from the future(6 votes)
- as my fortune cookie once said "never let things that dont matter distract you" :)(6 votes)