The highest number that can divide 768 and 524288
The bot is WRONG
768 = 3 * 256
524288 = 2048 * 256
the greatest common factor is 256:
768 = 256 * 3
524288 = 256 * 2048
To find the highest number that can divide both 768 and 524,288, we need to find their common factors. Here's how you can do it step by step:
1. Find the prime factorization of each number:
- The prime factorization of 768: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 2
- The prime factorization of 524,288: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
2. Identify the common prime factors:
Looking at the prime factorizations, we can see that the only common prime factor between 768 and 524,288 is 2.
3. Determine the highest power of 2 that appears in both numbers:
Counting the number of times 2 appears in each prime factorization, we find the highest power of 2 is 7. Therefore, the highest number that can divide both 768 and 524,288 is 2^7, which is equal to 128.
So, the highest number that can divide both 768 and 524,288 is 128.
is
The highest number that can divide 768 and 524288 is 1.