What is the GCF of 24 and 27?
The largest possible number which divides the given numbers exactly without any remainder is called the GCF (Greatest Common Factor).
Answer: GCF of 24 and 27 is 3
We will explain two methods to find the GCF of 24 and 27
The two methods that we are using to find GCF of 24 and 27 are shown below.
- Listing the common factors method
- Long Division method
Method 1: Find GCF of 24 and 27 by Listing Common Factors
The factors of 24 and 27 are shown below.
The common factor of 24 and 27 is 3
GCF is the product of the factors that are common to each of the given numbers.
So, GCF of 24 and 27 is 3
Method 2: Find GCF of 24 and 27 by Long Division
The steps to find the GCF(24, 27) by long division are mentioned below.
Step 1: Divide 27 by 24 and check the remainder. We get the remainder 3.
Step 2: Make the remainder of the above step 1 as the divisor and the divisor of the above step 24 as the dividend and perform the long division again.
Step 3: Continue till you get the remainder as 0 and the last divisor is the GCF of 27 and 24
The greatest common factor of 24 and 27 is 3
You can find the GCF in any of the above methods but the solution will be the same.