Kurdish health officials said as well as at least four people being killed there were 50 injured.
He also said 35 rescue teams were providing assistance.
There were similar scenes in Erbil, the capital of the semi-autonomous Kurdistan Region, and across other cities in northern Iraq, close to the quake's epicenter.
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"Without a doubt", he said, there would likely be serious damage and possible casualties.
Experts have warned a large quake could strike Israel in the near future, and the government has been funding projects for buildings to be bolstered against tremors.
Initial reports said a number of villages have been damaged and a number of people have lost their lives in western town of Qasr-e Shirin.
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Iran sits on many major fault lines and is prone to near-daily quakes.
Israeli media said the quake was felt in many parts of Israel too. At least eight villages have been damaged.
Tremors could be felt as far away as in the UAE after a 7.3 magnitude natural disaster struck Northern Iraq.
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Faramarz Akbari, a local official in the Iranian border city of Ghasr-e Shirin, reported the death toll to Iran's state-run IRNA news agency, according to the Associated Press.