What numbers go into 45 and 117?

To find the numbers that go into both 45 and 117 (the common divisors), we need to find the greatest common divisor (GCD) of 45 and 117. We can do this using prime factorization:

* Prime factorization of 45: 3 x 3 x 5 = 3² x 5

* Prime factorization of 117: 3 x 3 x 13 = 3² x 13

The common prime factors are 3 and 3 (or 3²). Therefore, the greatest common divisor is 9.

The numbers that go into both 45 and 117 are the divisors of their GCD, which is 9. These are 1, 3, and 9.