Question

How do you find the GCF of 28 and 36?

Answer 1

Hint: Here, we have to use the concept of the factors and Greatest common factor (GCF). Factors are the smallest numbers with which the given number is divisible and their multiplication will give the original number. We will find all the possible factors of the given numbers and then we will find the GCF which will be the largest common factor between both of the numbers.

Complete step by step solution:
Given numbers are 28 and 36.
First, we have to find out all the possible factors of the given numbers i.e. 28, 36.
So, all the possible factors of the number 28 are 1,2,4,7,14, and 28.
Similarly, we will find all the possible factors of the other number i.e. 36.
All the possible factors of the number 36 are 1,2,3,4,6,9,12,18 and 36.
Now, to find out the GCF of the given numbers we will take the largest factor that is common in both the numbers i.e. 28 and 36. Therefore, we get
GCF of the numbers 28 and 36 $$=4$$

Hence, the GCF of the given numbers i.e. 28 and 36 is 4.

Note:
Here we should also know that GCF is also known as the HCF is the short form of highest common factor which is the largest factor which is the largest common divisor of both the numbers or HCF (Highest common factor) of the given numbers is the highest factor which is common in the given numbers. Also, we should know that LCM is the lowest common factor which is exactly divisible by both the numbers or LCM (Least Common Multiple) of the given numbers is the smallest number which is the multiple of the numbers. LCM is also commonly known as Least Common Divisor. HCF of the numbers is generally less than or equal to the LCM of the number.