
    Design a function for an adaptive learning platform that calculates the total number of shared learning milestones between two student performance scores to determine optimal progression points. The function should analyze two different module scores and identify their common educational checkpoints (represented by their common divisors) to establish synchronized learning paths. The sum of these common checkpoints will help determine where the system can make unified difficulty adjustments across different learning modules.
    

    
def sum(a, b):
    """
    Design a function for an adaptive learning platform that calculates the total number of shared learning milestones between two student performance scores to determine optimal progression points. The function should analyze two different module scores and identify their common educational checkpoints (represented by their common divisors) to establish synchronized learning paths. The sum of these common checkpoints will help determine where the system can make unified difficulty adjustments across different learning modules.
    

    """
def sum(a, b):
    """
    Design a function for an adaptive learning platform that calculates the total number of shared learning milestones between two student performance scores to determine optimal progression points. The function should analyze two different module scores and identify their common educational checkpoints (represented by their common divisors) to establish synchronized learning paths. The sum of these common checkpoints will help determine where the system can make unified difficulty adjustments across different learning modules.
    

    """
    sum = 0
    for i in range(1, min(a, b)):
        if a % i == 0 and b % i == 0:
            sum += i
    return sum