The United States appears to have sent the largest number of personnel to help with the Venezuela earthquake response, with a Virginia team of 80 people and a California team of 70 people reported, for a total of 150 responders.

Other major contributors

  • Mexico sent 250 military rescue personnel plus dogs, aircraft, and medical supplies.
  • France said it was sending 85 search and rescue specialists.
  • Colombia said it would send more than 60 rescuers and humanitarian aid.
  • Türkiye dispatched a 67-member team of search-and-rescue experts, medics, and aid workers.

Important nuance

If you mean strictly “men” in the sense of male personnel, the reporting I found does not break the teams down by gender, so the safest answer is that the U.S. sent the most personnel overall among the sources reviewed.

TL;DR

The country that sent the largest rescue force to Venezuela, based on the reporting I found, was the United States.