Two objects with the same KE do not necessarily have the same momentum.
Work Step by Step
For example, a 9-kg ball moving at 1 m/s has the same KE, 9 J, as a 1-kg ball moving at 3 m/s. However, the momentum of the more massive object is larger. As another example, momentum is a vector, so identical objects moving at the same speed, but in different directions, will have the same KE, but different momentum vectors.