What is the GCF of 60 and 100?
The largest possible number which divides the given numbers exactly without any remainder is called the GCF (Greatest Common Factor).
Answer: GCF of 60 and 100 is 20
We will explain two methods to find the GCF of 60 and 100
The two methods that we are using to find GCF of 60 and 100 are shown below.
- Listing the common factors method
- Long Division method
Method 1: Find GCF of 60 and 100 by Listing Common Factors
The factors of 60 and 100 are shown below.
The common factor of 60 and 100 is 20
GCF is the product of the factors that are common to each of the given numbers.
So, GCF of 60 and 100 is 20
Method 2: Find GCF of 60 and 100 by Long Division
The steps to find the GCF(60, 100) by long division are mentioned below.
Step 1: Divide 100 by 60 and check the remainder. We get the remainder 40.
Step 2: Make the remainder of the above step 1 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 60 and 100
The greatest common factor of 60 and 100 is 20
You can find the GCF in any of the above methods but the solution will be the same.