Most frequent factor in a range of integers

You are given a range of numbers, from lower number to higher number (both inclusive). Consider all the factors of these numbers except 1, the task is to find the factor which appears the maximum number of times. If more than one number have maximum frequency than print anyone of them.

Examples:

Input : lower=10 higher=14
Output : The factor with maximum frequency is 2.

Input : lower=11 higher=11
Output : The factor with maximum frequency is 11.

Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Explanation:
If we have a range of numbers, say 10 to 14. Then the factors other than 1 will be:

10 => 2, 5, 10

11 => 11

12 => 2, 3, 4, 6, 12

13 => 13

14 => 2, 7, 14

In the above case, frequency(2)= 3, which is maximum on comparing with other factors.

Approach:
1. If lower = higher, then all factors will have frequency 1. So we can print any number which is factor, since every number is a factor of itself so we print the same number.
2. Otherwise, we print ‘2’ as it will always be true for a range of numbers.

C++

// CPP program to find most common factor 
// in a range. 
#include <bits/stdc++.h> 
using namespace std; 
  
int mostCommon(int lower, int higher) 
{ 
    // Check whether lower number  
    // and higher number are same 
    if (lower == higher)  
        return lower; 
    else 
        return 2; 
} 
  
// Driver Code 
int main() 
{ 
    int lower = 10; // Lower number 
    int higher = 20; // Higher number 
  
    printf("The most frequent factor %d\n",  
               mostCommon(lower, higher)); 
    return 0; 
} 

Java

// Java program to find most common factor  
// in a range.  
  
public class GfG { 
  
    public static int mostCommon(int lower, int higher)  
    {  
        // Check whether lower number   
        // and higher number are same  
        if (lower == higher)   
            return lower;  
        else 
            return 2;  
    }  
  
    // Driver code 
    public static void main(String []args) { 
          
        int lower = 10; // Lower number  
        int higher = 20; // Higher number  
        System.out.println("The most frequent factor " +  
                                    mostCommon(lower, higher)); 
    } 
} 
  
// This code is contributed by Rituraj Jain 

Python 3

# Python 3 program to find most  
# common factor in a range. 
def mostCommon( lower, higher): 
  
    # Check whether lower number  
    # and higher number are same 
    if (lower == higher):  
        return lower 
    else: 
        return 2
  
# Driver Code 
lower = 10 # Lower number 
higher = 20 # Higher number 
  
print("The most frequent factor",  
       mostCommon(lower, higher)) 
  
# This code is contributed by ash264 

C#

// C# program to find most common factor 
// in a range. 
using System; 
  
class GFG 
{ 
static int mostCommon(int lower, int higher) 
{ 
    // Check whether lower number  
    // and higher number are same 
    if (lower == higher)  
        return lower; 
    else
        return 2; 
} 
  
// Driver Code 
public static void Main() 
{ 
    int lower = 10; // Lower number 
    int higher = 20; // Higher number 
  
    Console.WriteLine("The most frequent factor " + 
                       mostCommon(lower, higher)); 
} 
} 
  
// This code is contributed 
// by Akanksha Rai 

PHP

<?php 
// PHP program to find most common  
// factor in a range. 
  
function mostCommon($lower, $higher) 
{ 
    // Check whether lower number  
    // and higher number are same 
    if ($lower == $higher)  
        return $lower; 
    else
        return 2; 
} 
  
// Driver Code 
$lower = 10; // Lower number 
$higher = 20; // Higher number 
  
echo "The most frequent factor ".  
    mostCommon($lower, $higher) . "\n"; 
  
// This code is contributed 
// by Akanksha Rai 
?> 