What do we mean by the Greatest Common Factor Calculator(GCF)? GCF is a result of two numbers that are factored into smaller numbers and the number which is greater in both these factored numbers is known as GCF. Well, we know it can be a bit confusing for first time readers. We will provide you with few examples to make it simpler and easy to understand.

1. Maths Tutorials for finding Out the Greatest Common Factor
What do we mean by the Greatest Common Factor Calculator(GCF)? GCF is a result of two numbers that are
factored into smaller numbers and the number which is greater in both these factored numbers is known as
GCF. Well, we know it can be a bit confusing for first time readers. We will provide you with few examples
to make it simpler and easy to understand.
Let us find out the Greatest Common Factor for number six and eight. First of all for number six, we have
to find out the numbers which can be divided by six or in other words the factor which can be multiplied with
another number to get the solution as six. The common numbers are (one x six = six) and (two x three = six).
Similarly, for number eight, the common numbers are (one x eight = eight) and (two x four = eight).
Now to find out the Greatest Common Factor in both these numbers, we have to first look at all the factors
for six and eight like as below:
For six – the factors are – 1, 2, 3 and 6 while
For eight – the factors are – 1, 2, 4 and 8
From the above numbers, you can realize that to get six as an answer, we can use 1, 2, 3 and 6 using
multiplication and to get eight as an answer, you can use 1, 2, 4 and 8 in a similar format.
You can see that the factors for both the numbers six and eight, there are two numbers, which are very
common in both that is one and two. Both these numbers can be easily multiplied to get an answer which can
be either six or eight. So, now the Greatest Common Factor is the number which is the greater between the
two. So in the above example, the Greatest Common Factor will be the number two, since the number one is
having a lower denomination. We do hope that you got a basic idea about what we mean by the Greatest
Common Factor.
Let us take another example to find out the Greatest Common Factor between two numbers. We will take say
ten and fifteen. Now to find out the Greatest Common Factor between these two numbers, we will have to
find out the common number for each. For ten, the common numbers are (one x ten = ten), (two x five = ten)
and for fifteen, the common numbers are (one x fifteen = fifteen), (three x five = fifteen). Now, let us check
out the factors for ten and fifteen to get the Greatest Common Factor.
For ten – the factors are – 1, 2, 5 and 10 while
For fifteen – the factors are – 1, 3, 5 and 15
The common numbers in the above figure are one and five. Now, since five is bigger than one, the Greatest
Common Factor becomes five. OK, now we know, you have already mastered the art of finding out the
Greatest Common Factor in any given figures and how to find it out.
We do hope that the above article has helped you in finding out how to achieve the Greatest Common Factor
from numbers.