What is the highest common factor of 385 and 525?

Answer 1

Well, isn't that a happy little question! To find the highest common factor of 385 and 525, we can first list the factors of each number. The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385, and the factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525. The highest common factor, also known as the greatest common divisor, is the largest number that appears in both lists, which in this case is 35.

Answer 2

The first step in finding the HCF is to break the two numbers down into their prime factors. In this case:

385 = 5x7x11

525 = 3x5x5x7

The next step is to identify any common factors. In this case, both numbers have a 5 and a 7 as a prime factor. Multiplying these together gives:

5x7 = 35

and so the HCF of 385 and 525 is 35.

Answer 3

5