What is the GCF of 3 and 9?
Greatest Common Factor of two numbers is the largest number that divides the two numbers exactly leaving the remainder 0
Answer: GCF of 3 and 9 is 3
We can find the GCF by any of the following two methods.
Methods to find GCF of 3 and 9
- Listing the common factors method
- Prime factorization Method
Method 1: GCF of 3 and 9 by Listing the Common Factors
The factors of 3 and 9 are shown below.
The common factors of 3 and 9 are 1 and 3
Clearly, the greatest common factor is 3
So, GCF of 3 and 9 is 3
Method 2: GCF of 3 and 9 by Prime Factorization
We will represent 3 and 9 as a product of their prime factors.
Prime factorization of 3 is 3
Prime factorization of 9 is 3 × 3
Common prime factor = 3
GCF is the product of the factors that are common to each of the given numbers.
GCF of 3 and 9 is 3
Irrespective of the method, the solution to our question GCF of 3 and 9 is the same.