What is the GCF of 9 and 10?
GCF of two numbers 9 and 10 is the largest possible number which divides both the numbers exactly.
Answer: GCF of 9 and 10 is 1
Let us find GCF of 9 and 10
We will use the following two methods to find the GCF of 9 and 10.
- GCF of 9 and 10 by Long Division Method
- GCF of 9 and 10 by Listing Method
Method 1: Find GCF of 9 and 10 by Long Division
Step 1: Divide 10 by 9 and check the remainder.
Step 2: Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.
Step 3: Continue till you get the remainder as 0 and the last divisor of the process is the GCF (9, 10)
Method 2: Find GCF of 9 and 10 by Listing the Common Factors
In this method,
- We list all the factors of 9 and 10,
- Identify the common factors.
- The highest among the common factors is the GCF of 9 and 10.
The factors of 9 are 1, 3, and 9
The factors of 10 are 1, 2, 5, and 10
The common factor of 9 and 10 is 1
The greatest common factor(GCF) of 9 and 10 is 1. Actually, the GCF of any two consecutive numbers is always 1.
Irrespective of the method, the solution to our question GCF of 9 and 10 is the same.