The greatest common factor (GCF) of a set of numbers is the largest number that is a factor of all those numbers. For example, the GCF of the numbers 4 and 6 is 2 because 2 is the greatest number that’s a factor of both 4 and 6. Here you will learn two ways to find the GCF.
What do GCF mean?
greatest common factor
The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.
How is the gpgcf related to the GCF?
By the way, if you’d like to explain to your students why this trick works, here’s a way to look at it. If you think about this situation via the number line, the GPGCF is simply the distance between the two numbers whose GCF you’re trying to find. Let’s go back to our first example: searching for the GCF for 16 and 20.
How do you find the GCF in math?
All you do is subtract 16 from 20, to get the difference, 4, and this number — 4 — is the largest number that could POSSIBLY go into both 16 and 20 evenly. Once you know that, just test 2, 3, and 4 to find the highest one that goes into 16 and 20. Of course that would be 4, so you got the GCF right off the bat, in this case.
Is the GCF of a number higher than 20?
The GCF of those numbers is 20. This is because all of them are divisible by 20 and 20 is one of the numbers, so you cannot use a number higher than 20 or else it wouldn’t be a factor of it. Thanks! Include your email address to get a message when this question is answered. A prime number is a number that can only be divided by one and itself.
Is there a way to find the GCF fast?
How to Find the GCF — FAST! Time-saving tips are great, right? So I’d like to share a time-saving tip for math. This tip SIMPLIFIES the process of finding the greatest common factor (GCF) for two numbers, a good thing to know when simplifying fractions, reducing proportions, etc.
