How many factors does 3800 have? How many factors does 1500 have? How many factors do they have in common?
I figured that both numbers have 24 factors each. What they have in common is what is throwing me off here.
factors and divisors are the same right? 24 divisors for each
sure the prime factorization for 3800 = 2^3 * 5^2 * 19 4*3*2=24divisors
and the prime factorization for 1500 = 2^2 * 5^3 * 3
3*4*2=24 factors
so since the two numbers share the 2^2 and 5^2 do they share 3*3=9 divisors?