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What is the highest common factor of 60 and 147?

Answer :

To find the highest common factor (HCF) of 60 and 147, we need to identify the largest number that can evenly divide both numbers.

Here's a detailed step-by-step solution:

1. List the Factors:
- Factors of 60: Start by listing all the numbers that multiply to make 60.
- 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

- Factors of 147: Do the same for 147.
- 1, 3, 7, 21, 49, 147

2. Identify Common Factors:
- Now, identify the factors that are common to both 60 and 147.
- The common factors are: 1 and 3.

3. Greatest Common Factor:
- The greatest or highest of these common factors is 3.

Therefore, the highest common factor of 60 and 147 is 3.

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