What is the HCF of 8,28 and 36
The highest common factor (HCF) of 8, 28, and 36 is 4.
To find the Highest Common Factor (HCF) of 8, 28, and 36, we can use the method of prime factorization. Here are the step-by-step calculations:
Step 1: Prime factorization of each number:
- 8 can be written as 2^3.
- 28 can be written as 2^2 * 7.
- 36 can be written as 2^2 * 3^2.
Step 2: Identify the common prime factors:
- The common prime factors among the three numbers are 2.
Step 3: Find the smallest exponent for each common prime factor:
- The smallest exponent for the common prime factor 2 is 2.
Step 4: Multiply the common prime factors:
- HCF = 2^2 = 4.
Therefore, the HCF of 8, 28, and 36 is 4.