In the world of mathematics, the factor is considered to be the number that when multiplied by another number will be capable of providing the people with getting desired numbers. The resulting number is also known as factors and usually, the numbers can be factored into different combinations very easily. The factors can be easily figured out whenever the people are familiar with the multiplication tables which is the main reason that people need to have a good command over the basics to become masters in the world of mathematics.

The largest number which is the factor of two or more numbers is known as the greatest common factor and this will be the largest number or factor that will be dividing them to result out in a natural number. Once all the factors of the number are found there are few factors that will be common in both. The largest number that is found in the common factors is known as the GCF or the greatest common factor for the people. It is also known as the concept of the highest common factor or HCF. For example whenever the individuals are interested to find out the greatest common factor between 18 and 21 then the answer will be three because this is the only common factor and the greatest common factor between both of them.

## How can people find out the greatest common factor very easily?

Whenever the individuals are required to find out the greatest common factor between two numbers then they need to list down the prime factors of every number in the whole process. The multiple of the common factors of both the numbers will result out into the greatest common factor and if there are no common prime factors in the greatest common factor will be one. The finding of the greatest common factor of the given number can be very easy and there are very simple steps to be followed in the whole process so that people can remain on the right track very easily and efficiently. To find out the greatest common factor of two given numbers people need to find out the factors of both the numbers and identify the common ones very easily.

### Example: numbers 18 and 24

- Prime factors of 18 two, three, three
- Prime factors of 24 or two, two, two and three

Hence, the common factors are two and three in common so the greatest common factor between both of them will be 2×3 which will be six.

It is very much advisable for people to be clear about the basic differences between the greatest common factor and lowest common multiple. The greatest common factor of two or more numbers will be defined as the largest number that is the factor of all the numbers and on the other hand, the lowest common multiple of two or more numbers will be the smallest number which will be non-0 that will be a multiple of the.

Factor method can be perfectly utilised by the people in terms of listing out all the prime factors and for this purpose, people can also calculate both GCF and LCM in the whole process very easily. After finding out the factors of two numbers people need to circle those numbers that will be appearing commonly into both of the lists so that there is no confusion at any point in time and kids can solve the questions very efficiently. Apart from this, it is also very much important for the kids to be clear about the entire process of dealing with the multiples and factors so that they can score exams. Depending on platforms like Cuemath is the best way of ensuring that everyone will be having a good command over the chapter of prime factorisation and will be highly capable of dealing with things very professionally.