Answer: 35
Explanation:
To find the highest common factor (HCF) of 70 and 385, we can use the prime factorization method.
Step 1: Find the prime factors of each number.
- The prime factorization of 70 is 2 × 5 × 7.
- The prime factorization of 385 is 5 × 7 × 11.
Step 2: Identify the common prime factors.
- Both numbers have the prime factors 5 and 7.
Step 3: Multiply the common prime factors.
- Multiply 5 and 7 together: 5 × 7 = 35.
Therefore, the highest common factor (HCF) of 70 and 385 is 35.
Note: The HCF is the largest number that divides both numbers without leaving a remainder. In this case, 35 is the highest number that can divide both 70 and 385 evenly.
I hope this helps.