2 Use the prime factorization of 92 and 146 to find the following: 2.2 .1 HCF 2.2 .2 LCM

To find the prime factorization, let's start with 92 and 146. For 92, it can be expressed as 2² × 23 (2 multiplied by itself two times equals 4, and when you divide 92 by 4, you get 23). For 146, it breaks down into 2 × 73 (since dividing 146 by 2 gives you 73, which is a prime number). Now, for the highest common factor (HCF), look for the smallest power of common prime factors. Here, the only common prime factor is 2. So, HCF is 2. As for the least common multiple (LCM), take the highest power of all prime factors from both numbers. We have 2² from 92 and 23 from 92, and 2¹ from 146 and 73 from 146. Thus, LCM = 2² × 23 × 73 = 2 x 3 x 1 = 2² × 23 × 73 = 918. In summary, HCF is 2 and LCM is 918.