• Amber timed how long she took to solve a monthly mathematical contest. She writes down the elapsed time in DD:HH:MM:SS format and also in seconds.

• For example, if she spent 1,000,000 seconds, she would write down 11:13:46:40 and 1,000,000.

Amber shares her numbers with Bryce. Bryce subtracts her two numbers (higher one minus the lower one), ignoring punctuations. In this case Bryce would obtain:

• 11134640 - 1000000 = 10134640

Determine the maximum value of the positive integer that must always divide his result.
Explain your answer with valid arguments.