What is the GCF of 15 and 16?
The largest possible number which divides the given numbers exactly without leaving any remainder is called the GCF (Greatest Common Factor).
Answer: GCF of 15 and 16 is 1
We will explain two methods to find the GCF of 15 and 16
The two methods that we are using to find GCF of 15 and 16 are shown below.
- Listing the common factors method
- Long Division method
Method 1: Find GCF of 15 and 16 by Listing Common Factors
The factors of 15 and 16 are shown below.
The common factor of 15 and 16 is 1.
So, GCF of 15 and 16 is 1.
Method 2: Find GCF of 15 and 16 by Long Division
The steps to find the GCF(15, 16) by long division are mentioned below.
Step 1: Divide 16 by 15 and check the remainder. We get the remainder as 1.
Step 2: Make the remainder of the above step 1 as the divisor and the divisor of the above step 15 as the dividend and perform the long division again.
Step 3: Then the remainder will be 0, so the GCF of 16 and 15 is 1.
The greatest common factor of 15 and 16 is 1.
You can find the GCF in any of the above methods but the solution will be the same.