Yes, numbers can have common prime factors.
Prime numbers or relatively prime numbers.
All numbers have factors. Some factors are prime numbers. These are known as prime factors. Some numbers have some of the same prime factors as other numbers. These are known as common prime factors. 3 is a common prime factor of 12 and 15.
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.
Example: What are the common prime factors of 120 and 252?Find the prime factorization of each number by breaking it down into the lowest possible numbers that can be multiplied together to make the original number.120 = 2x60 = 2x2x30 = 2x2x2x15 = 2x2x2x3x5252 = 2x126 = 2x2x63 = 2x2x3x21 = 2x2x3x3x7Notice that there are 2 2's and a 3 in each factorization: the common prime factors are 2, 2, and 3.
When the numbers have a common factor (other than 1).
All prime numbers have a common factor of 1.
The LCM of a set of prime numbers is their product.
Co-prime numbers, relatively prime numbers and any set of prime numbers.
No. Prime numbers are a subset of whole numbers.
Prime numbers are numbers with no common factors but one and itself.
The least common multiple of two different prime numbers is the product of those two prime numbers.
Prime numbers and numbers that are relatively prime.