Squares of prime numbers, among others.
Prime numbers have one factor pair. Composite numbers have two or more pairs. (6,8) and (4,12) are two different factor pairs for 48.
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The prime factors of 24 are 2 and 3
The greatest common factor of the numbers 2, 46 and 4 is 2.
There are many pairs of numbers whose greatest common factor is 1. 2, 33 5, 81 13, 27 83, 89 8, 571
Since 1, known as the "multiplicative identity", cannot be counted as a factor, there are many pairs of numbers that do not have common factors, such as 2 and 3, 2 and 5, and 3 and 5. There are many pairs of composite (not prime) numbers without common factors, such as 4 and 9. Also, since prime numbers do not have factors, any pair of primes cannot have a common factor, though a pair in which one number is prime may, e.g. 5 and 10.
The largest common factor of two or more numbers is the factor that goes into both numbers. Such as: the largest common factor of 2 and 4 is 2 The largest common factor of two or more numbers is the factor that goes into both numbers. Such as: the largest common factor of 2 and 4 is 2 That's the greatest common factor, or GCF.
The factor pairs of 20 are pairs of numbers that can be multiplied together to give 20. The factor pairs of 20 are (1, 20), (2, 10), and (4, 5). These pairs represent all the possible combinations of numbers that can be multiplied to equal 20.
Here are pairs of numbers with 6 as their greatest common factor: 6, 18 12, 30 120, 126 306, 318 6 and 12
Squares of prime numbers, among others.
2
The least common factor of any set of numbers is 1, so your problem won't work. 3, 5 and 10,15 have an LCM of 15. 15, 30 and 45,60 have a GCF of 15.
Because a pair of numbers is a pair of numbers.
Prime numbers have one factor pair. Composite numbers have two or more pairs. (6,8) and (4,12) are two different factor pairs for 48.
The difference is between factor pairs and distinct factors. With square numbers, one of the factor pairs will be the same number twice. When listing the distinct factors, that number is only listed once.
There is neither a greatest common factor nor common factors of a single number, such as 2, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor. The factors of 2 are 1 and 2. The prime factor of 2 is 2. Examples: The common factors of 2 and 6 are 1 and 2; the greatest common factor is 2. The common factors of 2 and 33 are only 1; the greatest common factor is 1.