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# Finding the Highest Common Factor of 8, 9 and 25

## What is the Highest Common Factor?

The Highest Common Factor (HCF) is the highest number that divides two or more given numbers. In other words, it is the greatest common divisor of two or more numbers. It is also known as the Greatest Common Divisor (GCD).

## How to Find the Highest Common Factor?

The easiest way to find the HCF is to use the prime factorization method. This involves writing each number as the product of its prime factors. Prime factors are factors that can only be divided by 1 and the number itself. Once the prime factors of each number are listed, the highest common factor is the product of the common factors.

## Example: Finding the Highest Common Factor of 8, 9 and 25

To find the highest common factor of 8, 9 and 25, the first step is to list the prime factors of each number. The prime factors of 8 are 2 x 2 x 2, the prime factors of 9 are 3 x 3 and the prime factors of 25 are 5 x 5. As you can see, the only common factor between 8, 9 and 25 is a single 2. Therefore, the HCF of 8, 9 and 25 is 2.

## Conclusion

The Highest Common Factor (HCF) is the highest number that divides two or more given numbers. It is also known as the Greatest Common Divisor (GCD). The easiest way to find the HCF is to use the prime factorization method. The HCF of 8, 9 and 25 is 2.