Write a recursive function (using Matlab)moreFactors(a,b,fact) that does the following:
1. Takes as an input 3 positive integers.
2. Of the two integers a and b, the function returns theinteger that has the most factors fact.
3. If both integers a and b have the same amount of factorsfact, the function will return the larger integer.
Test your function with the following:
>> result=moreFactors(24,32,3)
result = 24
(24 = 3^1 · 2^3 , 32 = 2^5 )
>> result=moreFactors(32,24,3)
result = 24
>> result=moreFactors(80,168,2)
result = 80
(80 = 2^4 · 5, 168 = 2^3 · 3 · 7)
>> result=moreFactors(100,50,5)
result = 100
(100 = 2^2 · 5^2 , 50 = 2 · 5^2 )
Note: function must be recursive!
