The greatest common factor of two whole numbers is the largest factor that divides into both values without leaving a remainder.The factors of 30 are 1,2,3,5,6,10,15,and 30.The factors of 48 are 1,2,3,4,6,8,12,16,24,and 48.6 is the largest value in both lists, so 6 is the GCF.You can also find the prime factorization of each value.30 = 2*3*548 = 2*2*2*2*3Since both numbers have common prime factors of 2 and 3, the GCF is 2*3 or 6.Incidentally, the least common multiple of 30 and 48 is the product of the union of the two sets of prime factors. The LCM of 30 and 48 is 2*2*2*2*3*5...whatever that is.Additionally, here is an alternate explanation.http://www.helpwithfractions.com/greatest-common-factor.html