Question

What is the greatest common factor of 343, 49, and 196? 49 14 7 343 3?

Answer 1

From the prime factorization of 49, we get 7*7. From 196, we get 2*2*7*7. From 343, we get 7*7*7. The greatest "overlap" or common factors are 7*7, or 49.

Thus, the greatest common factor is 49.