21 and 42
1, 2, 3 and 6
The common prime factors of 18 and 30 are 2 and 3.
If 3 is not a common factor of a pair of numbers, then other numbers that cannot be common factors are any multiples of 3, such as 6, 9, 12, and so on. This is because if a number is a multiple of 3, it will also be divisible by 3, making it a common factor. Additionally, any prime numbers that are not factors of 3, such as 2, 5, 7, 11, and so on, cannot be common factors either.
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.
All numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors because they are factors that the numbers have in common. 3 is a factor of 12. 3 is a factor of 15. 3 is a common factor of 12 and 15.
The prime factors of 51 are 3 and 17.
All nonzero numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors. 3 is a common factor of 9 and 12.
To determine the least common multiple of more than two numbers, determine the prime factors of all numbers. Then, determine the prime factors they have in common with at least one of the other numbers and the ones that are not in common. The prime factor of 2 is 2. The prime factor of 3 is 3. The prime factor of 5 is 5. The prime factors of 9 are 3 and 3. The prime factor 3 is a factor in common in one pair. Multiply all the factors together and divide by any that were in common with the other numbers. Therefore, the least common multiple is 2 x 3 x 5 x 9 ÷ 3 = 90
3
How about: 3 and 4
All numbers have factors. Some numbers have some of the same factors as other numbers. These are common factors. If the factor is a prime number, it is a common prime factor. 3 is a prime number. 3 is a factor of 9. 3 is a factor of 12. 3 is a common prime factor of 9 and 12.
A single number does not have a common factor. Common factors are factors that two or more numbers have in common. The greatest common factor of a pair of numbers over 50 could be any number, depending on the pair of numbers. The greatest common factor of 51 and 100 is 1. The greatest common factor of 51, 52, 53, 54, 55, and 56 is 1. The greatest common factor of 52 and 100 is 2. The greatest common factor of 57 and 102 is 3.