Answer:
Here's a Python code that asks the user for two integers, finds their greatest common divisor, calculates its factorial, and prints the result:
import math
# Prompt the user for two integers
a = int(input("Enter an integer: "))
b = int(input("Enter another integer: "))
# Find the greatest common divisor
gcd = math.gcd(a, b)
print("The greatest common divisor of", a, "and", b, "is", gcd)
# Calculate the factorial of the greatest common divisor
fact = math.factorial(gcd)
print("The factorial of", gcd, "is", fact)
Step-by-step explanation:
This code first imports the math module which contains the functions we need. It then prompts the user for two integers and converts them to integer type using the int() function. Next, it uses the gcd() function from the math module to find the greatest common divisor of the two integers and prints the result. Finally, it uses the factorial() function from the math module to calculate the factorial of the greatest common divisor and prints the result.