### Question

**What is the largest number that divides both 175 and 385 exactly?**

A. 15

B. 30

C. 35

D. 45

#### Answer: C. 35

**Solution:**

Let’s do a quick prime factorization.

175 = 5 × 5 × 7

385 = 5 × 7 × 11

**The prime factors in common are 5 × 7 so the HCF is 35.**

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