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.
19 and 90 have no common prime factors.
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.
The factors of 22 are 1, 2, 11, and 22. The factors of 55 are 1, 5, 11, and 55. The common factors are 1 and 11. Therefore, the greatest common factor is 11. The greatest common factor can also be find by determining the prime factors and multiplying the common prime factors together. The prime factors of 22 are 2 and 11. The prime factors of 55 are 5 and 11. The common prime factors are a single 11, so the greatest common factor is 11.
All numbers have factors. Some factors are prime numbers. A prime factor is a factor that is a prime number. A common prime factor is a prime factor that appears on the list of factors of two or more given numbers.
The factors of 35 are 1, 5, 7, and 35. The factors of 27 are 1, 3, 9, and 27. The only factor they have in common is 1; therefore, 35 and 27 are relatively prime. Alternatively, you can look at the prime factors. The prime factors of 35 are 5 and 7. The prime factors of 27 are 3, 3, and 3. They have no prime factors in common, so they are relatively prime, which means their only common factor is 1.
They have the prime factors 2 and 5 in common.
19 and 90 have no common prime factors.
81 and 200 have no common prime factors.
The prime factors of 80 are 2 and 5. For them to be common, they need to be compared to another set of prime factors.
The prime factors of 36 are 2 and 3. To be common, they need to be compared to another set of prime factors.
The prime factors of 18 are 2, 3, and 3. The prime factors of 90 are 2, 3, 3, and 5. The prime factors they have in common are 2, 3, and 3. Since 18 is a factor of 90, its prime factors will be the prime factors that the two numbers have in common.
The common prime factors are 2 and 3
2 and 3 are the only common prime factors
The prime factors of 110 are 2, 5 and 11. For them to be common, they need to be compared to another set of prime factors.
When two or more numbers have one or more of the same primes as factors, those prime factors are called common prime factors. For example, the prime factors of 6 are 2 and 3, and the prime factors of 21 are 3 and 7, so 3 is a common prime factor of 6 and 21.
There are infinitely many prime factors.
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.