# Most frequent factor in a range of integers

• Difficulty Level : Basic
• Last Updated : 24 Jun, 2022

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.

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 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 Codeint 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 Codelower = 10 # Lower numberhigher = 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 Codepublic 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



## Javascript



Output:

The most frequent factor 2

Time Complexity: O(1)

Auxiliary Space: O(1)

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