What is the HCF of 12 and 18?
HCF (Highest Common Factor) of two numbers is the largest number that divides the two numbers exactly leaving the remainder 0
Answer: HCF of 12 and 18 is 6
Let us see how to find the HCF of 12 and 18
Methods to Find HCF of 12 and 18
We can find the HCF by the following methods

Prime factorization Method

Long division Method
Method 1: Highest Common Factor of 12 and 18 by Prime Factorization
Let's write the prime factorization of 12 and 18
Prime factorization of 12 is 2 × 2 × 3
Prime factorization of 18 is 2 × 3 × 3
Common factors are 2, 3
The highest common factor is the product of the prime factors that are common to each of the given numbers.
So, HCF of 12 and 18 is 2 × 3 = 6
Method 2: Highest Common Factor of 12 and 18 by Long Division

Step 1: Divide 18 by 12 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
The solution to our question HCF of 12 and 18 is the same by both the methods.