Find the sum of the common prime factors of 168 and 315.

Correct Option
Option C: 10

Step-by-Step Solution
Prime Factorization of 168:

168 = 2 * 84 = 2 * 2 * 42 = 2 * 2 * 2 * 21 = 2 * 2 * 2 * 3 * 7

In exponential form: 168 = 2³ * 3 * 7

Prime Factorization of 315:

315 = 3 * 105 = 3 * 3 * 35 = 3 * 3 * 5 * 7

In exponential form: 315 = 3² * 5 * 7

Identify Common Prime Factors:

Comparing the prime factors of both numbers (168: 2, 3, 7 and 315: 3, 5, 7), the common prime factors are 3 and 7.

Calculate the Sum:

Sum = 3 + 7 = 10.