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Find the highest common factor (HCF) of 27 and 45.

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To find the highest common factor (HCF) of 27 and 45, we can follow the Euclidean algorithm method. The HCF, also known as the greatest common divisor (GCD), is the largest positive integer that divides both numbers without leaving a remainder.

Here are the steps:

1. List the factors of each number:
- For 27, the factors are 1, 3, 9, and 27.
- For 45, the factors are 1, 3, 5, 9, 15, and 45.

2. Identify the common factors:
- The common factors of 27 and 45 are 1, 3, and 9.

3. Find the highest common factor:
- Among the common factors, the highest one is 9.

Therefore, the highest common factor of 27 and 45 is 9.
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