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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 = 2x2x2x3x5
252 = 2x126 = 2x2x63 = 2x2x3x21 = 2x2x3x3x7
Notice that there are 2 2's and a 3 in each factorization: the common prime factors are 2, 2, and 3.
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BeauAll numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors. Some common factors are prime numbers. These are known as common prime factors.
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The common prime factors of 19 and 90 are?
19 and 90 have no common prime factors.
What is the greatest common factor of 22 and 55?
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.
What is common prime factors?
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.
What is a common prime factor?
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.
What is the common factor of 27 and 35?
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.
