Given two integer and , the task is to find the common prime divisors of these numbers.
Input: A = 6, B = 12
Output: 2 3
2 and 3 are the only common prime divisors of 6 and 12
Input: A = 4, B = 8
Naive Approach: Iterate from 1 to min(A, B) and check whether i is prime and a factor of both A and B, if yes then display the number.
Efficient Approach is to do following:
Efficient Approach for multiple queries: The above solution can be further optimized if there are multiple queries for common factors. The idea is based on Prime Factorization using Sieve O(log n) for multiple queries.
Below is the implementation of the above approach:
- Count common prime factors of two numbers
- Print all numbers whose set of prime factors is a subset of the set of the prime factors of X
- K-Primes (Numbers with k prime factors) in a range
- Count numbers from range whose prime factors are only 2 and 3
- Number of distinct prime factors of first n natural numbers
- Count numbers in a range having GCD of powers of prime factors equal to 1
- Absolute difference between the Product of Non-Prime numbers and Prime numbers of an Array
- Prime factors of a big number
- Prime factors of LCM of array elements
- Sum of Factors of a Number using Prime Factorization
- Print all prime factors and their powers
- Absolute Difference between the Sum of Non-Prime numbers and Prime numbers of an Array
- Absolute difference between the XOR of Non-Prime numbers and Prime numbers of an Array
- Product of unique prime factors of a number
- Sum of element whose prime factors are present in array
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