What is the GCF of 60 and 96?
The largest possible number which divides the given numbers exactly without leaving any remainder is called the GCF (Greatest Common Factor).
Answer: GCF of 60 and 96 is 12
We will explain two methods to find the GCF of 60 and 96
The two methods that we are using to find GCF of 60 and 96 are shown below.
- Listing the common factors method
- Long Division method
Method 1: Find GCF of 60 and 96 by Listing Common Factors
The factors of 60 and 96 are shown below.
The common factor of 60 and 96 is 12.
So, GCF of 60 and 96 is 12
Method 2: Find GCF of 60 and 96 by Long Division
The steps to find the GCF(60, 96) by long division are mentioned below.
Step 1: Divide 96 by 60 and check the remainder. We get the remainder as 36.
Step 2: Make the remainder of the above step 36 as the divisor and the divisor of the above step 60 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 96 and 60.
The greatest common factor of 60 and 96 is 12.
You can find the GCF in any of the above methods but the solution will be the same.