What is the hcf of two consecutive odd numbers?
1 answer(s)
That's a good question. The HCF of any two consecutive odd numbers is always 1.
Think about it this way. Their difference is always 2. This means the only numbers that could possibly divide both of them are 1 and 2. But since the numbers are odd, 2 cannot be a factor. This leaves only 1 as their highest common factor. So for any pair, like 21 and 23, or 101 and 103, the answer is just 1.