human
Count natural numbers whose factorials are divisible by x but not y | GCD function to compute the greatest divisor among a and b.
Returns first number whose factorial is divisible by x ..
Result.
Remove common factors.
We found first i ..
Count of natural numbers whose factorials are divisible by x but not y ..
Return difference between first natural number whose factorial is divisible by y and first natural number whose factorial is divisible by x ..
Driver code"
Solution in Python:
 Give me a code to count natural numbers whose factorials are divisible by x but not y and the other steps required?
assistant
#Here is code to count natural numbers whose factorials are divisible by x but not y and the other steps required.
 def gcd ( a , b ) :
	if ( ( a % b ) == 0 ) :
		return b
	return gcd ( b , a % b )
def firstFactorialDivisibleNumber ( x ) :
	i = 1
	new_x = x
	for i in range ( 1 , x ) :
		new_x /= gcd ( i , new_x )
		if ( new_x == 1 ) :
			break
	return i
def countFactorialXNotY ( x , y ) :
	return ( firstFactorialDivisibleNumber ( y ) - firstFactorialDivisibleNumber ( x ) )
x = 15
y = 25
print ( countFactorialXNotY ( x , y ) )