The first step when finding an HCF is to break the numbers down into their prime factors. In this case we get:
21 = 3x7
49 = 7x7
The next step is to identify any common prime factors. In this case both numbers have a 7 as a prime factor. There are no more common prime factors, and thus the HCF of 21 and 49 is 7.
Chat with our AI personalities
The Highest Common Factor (HCF) of 21 and 49 is 7. To find the HCF, you need to determine the highest number that divides both 21 and 49 without leaving a remainder. In this case, the highest number that fits this criteria is 7, as 21 = 7 * 3 and 49 = 7 * 7.
Ah, finding the Highest Common Factor is like painting a beautiful landscape. The HCF of 21 and 49 is 7, my friend. Just like how different colors blend together to create a masterpiece, numbers come together to reveal their common factor. Keep exploring the world of numbers, and you'll uncover more hidden treasures.