The Highest Common Factor of 24 and 36

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So, to find the highest common factor, we need to list all the factors of 24 and 36. For 24, the factors are 1, 2, 3, 4, 6, 8, 12, and 24. And for 36, the factors are 1, 2, 3, 4, 6, 9, 12, 18, and 36. Now, let's find the common factors, which are the numbers that appear in both lists: 1, 2, 3, 4, 6, and 12.

Now, here's where things get interesting. The highest common factor is the largest number in the list of common factors. And the winner is... 12! Yep, 12 is the highest common factor of 24 and 36. But don't just take my word for it, let's do a quick test to make sure.

So, if we divide 24 by 12, we get 2 with no remainder. And if we divide 36 by 12, we get 3 with no remainder. Voilà! The highest common factor of 24 and 36 is indeed 12. You can now go ahead and impress your friends with this newfound knowledge.