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# How does ordering factors from least to greatest help you find the greatest common factor?

Updated: 10/24/2022

Wiki User

12y ago

The same way that sorting playing cards in your hand helps you to know what you have. I suppose you could list them from greatest to least if you wanted to. It's just a way to keep track of them.

Wiki User

12y ago

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Q: How does ordering factors from least to greatest help you find the greatest common factor?
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### What are the common factors and greatest common factor of 87 and 63?

The common factors are: 1, 3 The Greatest Common Factor (GCF) is: 3

### What are the common factors and greatest common factor of 86?

Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as 86, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor. The factors of 86 are 1, 2, 43, and 86. Examples: The common factors of 8 and 86 are 1 and 2; the greatest common factor is 2. The common factors of 86 and 387 are 1 and 43; the greatest common factor is 43.

### What are the common factors and greatest common factor of 11?

There is neither a greatest common factor nor common factors of a single number, such as 11, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.The factors of 11 are 1 and 11.The prime factor of 11 is 11; it is a prime number.Examples:The common factors of 11 and 44 are 1 and 11; the greatest common factor is 11.The common factors of 11 and 56 are only 1; the greatest common factor is 1.The common factors of 11 and 71 are only 1; the greatest common factor is 1.The common factors of 11 and 132 are 1 and 11; the greatest common factor is 11.The common factors of 8, 11, and 33 are only 1; the greatest common factor is 1.* because 11 is a prime number there is no common factor just it self !

### What are the common factors and greatest common factor of factor of 27?

Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as 27, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor. Examples: The common factors of 27 and 29 are only 1; the greatest common factor is 1. The common factors of 27 and 33 are 1 and 3; the greatest common factor is 3. The common factors of 27 and 45 are 1, 3, and 9; the greatest common factor is 9. The common factors of 27 and 81 are 1, 3, 9, and 27; the greatest common factor is 27.

### What is the greatest common factors of 27 and 35?

The greatest common factor of 27 and 35 is 1