Final answer:
The Highest Common Factor (HCF) of 48, 54, and 90 is 6, as determined using the Prime Factorization method where the prime factors of each number are 2 and 3 in the lowest powers.
Step-by-step explanation:
To find the Highest Common Factor (HCF) of 48, 54, and 90 using the Prime Factorization method, we first need to express each number as the product of its prime factors.
- Prime Factorization of 48: 2^4 * 3
- Prime Factorization of 54: 2 * 3^3
- Prime Factorization of 90: 2 * 3^2 * 5
The HCF is found by multiplying the lowest power of common prime factors. In this case the common prime factors are 2 and 3. The lowest power of 2 is ^1 and for 3 is ^1 among these numbers. Hence, the HCF is 2^1 * 3^1 = 6.
Learn more about HCF and Prime Factorization