Question

Here is the prime factor decomposition of 12. 12 = 2² x 3 Using this and your own knowledge, what is the Highest Common Factor of 12 and 15?​

Answer 1

The highest common factor (HCF) of 12 and 15 is 3.

Step-by-step explanation:

The highest common factor (HCF) of two numbers is the largest number that divides both of them without leaving a remainder. To find the HCF of 12 and 15, we need to determine their prime factorization.

Prime factor decomposition of 12: 12 = 2² x 3

Prime factor decomposition of 15: 15 = 3 x 5

Now, we identify the common factors between 12 and 15, which are 3. Therefore, the HCF of 12 and 15 is 3.