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A factor means a number that can be multiplied by another number to equal a greater number. (Ex. 3x4=12... in this example 3 and 4 are factors of 12). A common factor is when you compare two numbers factors. (Ex. take all the factors of 12-1,2,3,4,6,12 and compare these with all the factors of 24-1,2,3,4,6,8,12,24). Now look at the factors of 12 and 24 carefully and look at all ofthe common factors. All of the common factors are 1,2,3,4,6 and 12. The greatest common factor is just the one number... 12

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Q: What is identifying common factors?
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What is the greatest common factor of 138 and 322?

The greatest common factor can be calculated by identifying the common prime factors and multiplying them together. The prime factors of 138 are 2, 3, and 23. The prime factors of 322 are 2, 7, and 23. The prime factors in common are 2 and 23, so the greatest common factor is 2 x 23 = 46.


What is the greatest common factor of 35 and 42?

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factors of 35 are 5 and 7. The prime factors of 42 are 2, 3, and 7. The common prime factors are a single 7, so the greatest common factor is 7.


What is the greatest common factor of 85 and 145?

One way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 85 are 1, 5, 17, and 85. The factors of 145 are 1, 5, 29, and 145. The common factors are 1 and 5. Therefore, the greatest common factor is 5. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factors of 85 are 5 and 17. The prime factors of 145 are 5 and 29. The prime factors in common are a single 5, so the greatest common factor is 5.


What is the greatest common factor of 20 and 55?

One way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 20 are 1, 2, 4, 5, 10, and 20. The factors of 55 are 1, 5, 11, and 55. The common factors are 1 and 5. Therefore, the greatest common factor is 5. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factors of 20 are 2, 2, and 5. The prime factors of 55 are 5 and 11. The prime factors in common are a single 5, so the greatest common factor is 5.


What is the greatest common factor of 3 and 51?

3 is a factor of 51, and 3 is also the largest factor of itself, so 3 is the greatest common factor. The factors of 3 are 1 and 3. The factors of 51 are 1, 3, 17, and 51. The common factors are 1 and 3. Therefore, the greatest common factor is 3. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factor of 3 is 3. The prime factors of 51 are 3 and 17. The common prime factors are a single 3, so the greatest common factor is 3.