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Answer :
Final answer:
The highest common factor (HCF) of 330 and 693 is a number that can exactly divide both numbers without a remainder. By listing all factors of both numbers, we see that the greatest number that appears in both lists is 33. Therefore, the HCF of 330 and 693 is 33.
Explanation:
The highest common factor (HCF), of two numbers, also known as the Greatest Common Divisor (GCD), is the highest number that can exactly divide both numbers.
To find the HCF of 330 and 693, we need to list all the factors of both numbers, and find the greatest number that appears in both lists.
The factors of 330 are: 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330.
The factors of 693 are: 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693. The highest number that is common in both lists is 33, so the HCF of 330 and 693 is 33.
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