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How do you determine common factors?

Anonymous

∙ 12y ago

Updated: 8/18/2019

All nonzero numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors. Pick two numbers. Write down their factors. The numbers that appear on both lists are common factors.

Wiki User

∙ 12y ago

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Related Questions

What are some common factors of 8?

To have common factors, you need at least two numbers to compare, so you can determine what factors they have in common. The factors of 8 are 1, 2, 4, and 8.

What is the LCM of 28 and 21?

To determine the least common multiple of two numbers, determine the prime factors of both number. Then, determine the prime factors they have in common. Multiply all their prime factors together (in other words, multiply both numbers together) and divide by the prime factors they have in common (in other words, their greatest common factor). The prime factors of 21 are 3 and 7. The prime factors of 28 are 2, 2, and 7. The prime factors in common are a single 7. Therefore, the lowest common multiple is 21 x 28 ÷ 7 = 84

Why do you need the common prime factors when finding the greatest common factor?

You do not necessarily need the common prime factors when finding the greatest common factor, but with large numbers or numbers for which you cannot easily determine all the factors, using prime factorization to determine the greatest common factor is the easiest method. The greatest common factor can then be determined by multiplying the common prime factors together. For example, when trying to find the greatest common factor of 2144 and 5672, finding all their possible factors to compare could be difficult. So, it is easier to find their prime factors, determine the prime factors they have in common, and then multiply the common prime factors to get the greatest common factor. For descriptions and examples of finding the greatest common factor, see the "Related Questions" links below.

How can you determine whether the gcf of two numbers is one by looking at their prime factorizations?

If there are no prime factors in common, the GCF is 1.

What is the greatest common factor of 119 and 391?

Answer: GCF of 119 and 391 is 17. One way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 119 are 1, 7, 17, and 119. The factors of 391 are 1, 17, 23, and 391 The common factors are 1 and 17. Therefore, the greatest common factor is 17. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factors of 119 are 7 and 17. The prime factors of 391 are 17 and 23. The prime factors in common are a single 17, so the greatest common factor is 17. Once you determine that there are only two prime factors for 119, the easiest way to determine the greatest common factor is to check whether 391 is evenly divided by either 17 or 7, rather than determining the prime factors of 391, too.

What are the common factors of 12 and 21?

The common factors of 12 and 21 are 1 and 3. One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them. The factors of 12 are 1, 2, 3, 4, 6, and 12. The factors of 21 are 1, 3, 7, and 21. The common factors are 1 and 3. This means that the greatest common factor is 3. The numbers are 1 and 3

What are the common factors of 3 and 4?

A factor is a divisor - a number that will evenly divide into another number. One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them. The factors of 3 are 1 and 3. The factors of 4 are 1, 2, and 4. The only common factor is 1.

What is the least common multiple of 14 and 42?

The LCM of 14 and 42 is 42. The simplest method to determine the least common multiple in this case is to notice that 42 is a multiple of 14. Since 42 is a multiple of 14, the least common multiple is 42. To determine the least common multiple of two numbers, you can also determine the prime factors of both numbers. Then, determine the prime factors they have in common. Multiply all their prime factors together (in other words, multiply both numbers together) and divide by the prime factors they have in common (in other words, their greatest common factor). The prime factors of 14 are 2 and 7. The prime factors of 42 are 2, 3, and 7. The greatest common factor of 14 and 42 is 14. So, the least common multiple of 14 and 42 is (2x7) x (2x3x7) ÷ 14 = 42.

What are the common factors of 4 and 18?

Answer:The common factors of 4 and 18 are 1 and 2.The greatest common factor of 4 and 18 is 2.Definition: A factor is a divisor - a number that will evenly divide into another number. The common factors of two or more numbers are all the factors that the numbers have in common. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.Methods:One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them.The factors of 4 are 1, 2, and 4.The factors of 18 are 1, 2, 3, 6, 9, and 18.The common factors are 1 and 2; the greatest common factor is 2.The common factors and greatest common factor can also be calculated by identifying the common prime factors and multiplying them together to identify the greatest common factor, and then taking all the factors of it to determine the common factors.The prime factors of 4 are 2 and 2.The prime factors of 18 are 2, 3, and 3.The prime factors in common are a single 2, so the greatest common factor is 2. The factors of 2 are 1 and 2, which are the common factors.1 and 2

What are the common factors of 10 and 169?

A factor is a divisor - a number that will evenly divide into another number. One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them. The factors of 10 are 1, 2, 5, and 10. The factors of 169 are 1, 13, and 169 The only common factor is 1, which is also the greatest common factor.

How many factors dose 123 and 555 have in common?

To find the common factors of 123 and 555, we first need to determine the factors of each number. The factors of 123 are 1, 3, 41, and 123. The factors of 555 are 1, 3, 5, 15, 37, 111, and 555. The common factors of 123 and 555 are 1 and 3. Therefore, they have 2 common factors.

What is the greatest common factor of 15 and 39?

The factors of 15 are 1, 3, 5, and 15. The factors of 39 are 1, 3, 13, and 39. The factors they have in common are 1 and 3. Therefore, the greatest common factor is 3. You can also determine the greatest common factor from their prime factors. The prime factors of 15 are 3 and 5. The prime factors of 39 are 3 and 13. The prime factors they have in common are a single 3, so the greatest common factor is 3.

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