The least common factor for two numbers is always one. The least common multiple for two numbers which have no common factors greater than one is their product.
Ex: 30 and 42 The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30 The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42 The common factors are: 1, 2, 3, 6 The Greatest Common Factor: GCF = 6
Numbers having exactly three factors are the squares of prime numbers. Examples of these numbers greater than 100 are 121, 169, 289, 361, 529, 841, etc.
No. To be rectangular a number must have two factors greater than 1. If it has two factors greater than 1, it cannot be prime.
The product will be greater than 1, when each of the two factors are greater than 1.
In any list of distinct numbers, one will be greater than the others. In the list of common factors, one will be the greatest.
The least common factor for two numbers is always one. The least common multiple for two numbers which have no common factors greater than one is their product.
Two numbers that have no common factors greater than one are considered co-prime or relatively prime. Their LCM is their product.
Their product.
They are called co-primes.
When their GCF is greater than 1. When they have prime factors in common.
No prime number greater than 2 has 2 as a factor. A prime number has only two factors, 1 and the number itself. All prime numbers have 1 as a common factor. Numbers with any number besides 1 as common factors are composite numbers.
If the GCF of a given pair of numbers is 1, the LCM will be equal to their product. If the GCF is greater than 1, the LCM will be less than their product. Or, stated another way, if the two numbers have no common prime factors, their LCM will be their product.
Such numbers, like 4 and 9, are called relatively prime or co-prime.
Ex: 30 and 42 The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30 The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42 The common factors are: 1, 2, 3, 6 The Greatest Common Factor: GCF = 6
The Greatest Common Factor depends upon the numbers for which there are common factors and it is the greatest one of them; it can be greater than 18, for example the greatest common factor of 40 and 100 is 20. The greatest common factor must be one of the factors of each of the numbers. As the factors of each number cannot be greater than that number, the greatest common factor of a set of numbers cannot be greater than the least number. If this number is not greater than 18 then the greatest common factor of the numbers cannot be greater than 18. Even if the least number is greater than 18 it is possible that the greatest common factor of a set of numbers is still not greater than 18, for example the greatest common factor of 20, 30 and 50 is 10.
Answer: It will be greater than both the numbers. Answer: It may be greater, equal, or less than the numbers. Examples: 2 x 3 = 6 (greater than both factors) 0.5 x 0.4 = 0.2 (smaller than both factors)