The divisor is any number that divides another number, a factor, however, is a divisor that divides the number entirely and leaves no remainder. So all factors a number are its divisor. A multiple of a n umber is a number that can be divided evenly by another number without a remainder.
When a number is expressed as the product of prime numbers,it is said that this is the prime factorization of the number. A prime factorization represent a composite number as the product of two or more prime numbers.
The Greatest Common Factor (GCF) is the largest common factor of two or more numbers. Example: the greatest common factor of 30 and 105 is 15.
The smallest positive number that is a multiple of two or more numbers. Example: the least common multiple of 3 and 5 is 15.
The greatest common factor is the largest number that evenly each number in a given set of numbers. The least common multiple is the smallest positive multiple that is common to two or more numbers.