What is the GCF of 6 and 15?
Greatest Common Factor of two or more numbers is the largest possible number which divides the given numbers exactly without any remainder.
Answer: GCF of 6 and 15 is 3
We can find the GCF by the following methods
Methods to find GCF of 6 and 15
Prime factorization Method
Listing the common factors method
Long division Method
Method 1: GCF of 6 and 15 by Prime Factorization
Let us represent 6 and 15 as a product of its prime numbers
Prime factorization of 6 is 2 × 3
Prime factorization of 15 is 3 × 5
Common factor = 3
GCF is the product of the factors that are common to each of the given numbers.
GCF = 3
Method 2: GCF of 6 and 15 by Listing the Common Factors
Common Factors of 6 and 15: 1, 3
Greatest common factor = 3
GCF of 6 and 15 is 3
Method 3: GCF of 6 and 15 by Long Division
Step 1: Divide 15 by 6 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 remainder as 0
You can find the GCF in any of the above methods but the solution will be the same.