What is the HCF of 135 and 225?
HCF (Highest Common Factor) of two or more numbers is the largest possible number that divides the given numbers leaving the remainder 0
Answer: HCF of 135 and 225 is 45
Let's see how to find the HCF of 135 and 225
Method to Find HCF of 135 and 225
We can find the HCF by the following methods

Prime Factorization

Long division Method
Method 1: HCF of 135 and 225 by Prime Factorization
Let us represent 135 and 225 as a product of its prime factors
Prime factorization of 135 is 3 × 3 × 3 × 5
Prime factorization of 225 is 3 × 3 × 5 × 5
The common factors in the prime factorization of 135 and 225 are 3, 3, and 5
HCF is the product of the factors that are common to each of the given numbers.
So, HCF of 135 and 225 is 3 × 3 × 5 = 45

HCF of 135 and 225 by Long Division
Follow the steps given below to find the highest common multiple of 135 and 225
Step 1: Divide 225 by 135 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
Irrespective of the method, the solution to our question HCF of 135 and 225 is the same.