# SAT Math Multiple Choice Practice Question 244: Answer and Explanation

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**Question: 244**

**2.** Two positive integers are "compatible" if their greatest common factor is a prime number. For instance, 15 and 25 are compatible because their greatest common factor is 5, which is prime. If *m* and 98 are compatible, and *m* is an odd number, then what is the greatest common factor of *m* and 98?

A. 2

B. 5

C. 7

D. 14

E. 49

**Correct Answer:** C

**Explanation:**

**C** Since the prime factorization of 98 is , and since the greatest common factor of *m* and 98 is a prime number, that greatest common factor must be 2 or 7. Since it is not even, it must be 7.