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If there was no will, the property is transferred to beneficiaries under the laws of intestate succession. This means, that you and your mother would inherit equal shares - 50/50.
You will have to file a petition to administer his estate with the probate court of the county of his residence. The court will appoint someone - probably you - as the administrator of the estate. Once the estate is opened, you can transfer property from your father's name into the names of you and your mother.
My suggestion is that you speak to an wills and estates attorney in your area about getting this done.