There is an engine serial number prior to 68 but it is hard to get to or see when the engine is in the car. It simply tells you what date the engine was assembled and has nothing to do with a specific installation in a specific car.
Vehicle serial numbers are not on engines prior to 68.
For 1968, the serial number MAY BE stamped on the block and automatic transmission near the oil sending unit. 1968 Stampings are inconsistent and vary by application, time of year and plant.
For 69 and later, the VIN is stamped on a pad on the passengers side. Early stampings include the full VIN. The full VIN was phased out around January (varies by plant) and includes only the year, plant and six digit number matching the VIN
For 70 and later, you will find the model year, the year and a six digit number that matches the VIN.
The number on the pad at the front of the engine relates to when the engine was assembled, not to a specific car.
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