To find the HCF of two numbers you first have to break the numbers down into their prime factors. In this case:
25 = 5x5
60 = 2x2x3x5
The next step is to identify any common prime factors. In this case both numbers have a 5 as a prime factor. Thus the HCF of 25 and 60 is 5.
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The Highest Common Factor (HCF) of 25 and 60 is 5. To find the HCF, you can list the factors of each number and determine the largest number that is common to both lists. The factors of 25 are 1, 5, 25, and the factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. The largest number that is common to both lists is 5, making it the HCF of 25 and 60.