Answer :
Answer:
Step-by-step explanation:
To find the highest common factor (HCF) of 256 and 96 using prime factorization, we need to follow these steps:
Find the prime factorization of each number.
Prime factorization of 256:
256 = 2^8
Prime factorization of 96:
96 = 2^5 × 3^2
Identify the common prime factors between the two numbers.
The common prime factors between 256 and 96 are 2^5 (since both numbers have 2^5 as a factor).
The HCF is the product of the common prime factors.
The HCF of 256 and 96 is 2^5 = 32.
Therefore, the HCF of 256 and 96 is 32.
Answer:
HCF of 256 and 96 is 32
Step-by-step explanation:
The product of two numbers is 35,828 and their HCF is 26.
Steps to find HCF
1) Find the prime factorization of 96
962×2×2×2×2×3
2) Find the prime factorization of 256
256 = 2 × 2×2×2×2×2×2× 2
3) To find the HCF, multiply all the prime factors common to both numbers:
4) Therefore, HCF = 2 × 2 ×2×2×2
HCF = 32
