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Leetcode 2427: Number of Common Factors Solution

Here, we will see how to solve Number of Common Factors Solution of leet code 2427 problem.

You are given two positive integers a and b. You have to return the number of common factors of a and b.

An integer x is a common factor of a and b if x divides both a and b.

    Example 1:

    Input: a = 12, b = 6
    Output: 4
    Explanation: The common factors of 12 and 6 are 1, 2, 3, 6.

    Example 2:

    Input: a = 25, b = 30
    Output: 2
    Explanation: The common factors of 25 and 30 are 1, 5.

    Example 3:

    Input: a = 10, b = 5
    Output: 2
    Explanation: The common factors of 10 and 5 are 2.

    Number of Common Factors Solution in C++:

    Here, we will be solving problem in multiple ways with code.

    C++ code 1:

    class Solution {
    public:
        int commonFactors(int a, int b) {
            int n = a > b ? a : b;
            int count = 1;
            
            for(int i = 2; i <= n; i++) {
                if(((a % i) == 0) && ((b % i) == 0)) {
                    count++;
                }
            }
            return count;
        }
    };

    Output:

    Input: a = 10, b = 5
    Output: 2

    Time complexity: O(n)

    Space complexity: O(1)

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    Posted in C++, Easy, Leetcode

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