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Answer: 9

Definition: A factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.

Method:

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 81 are 1, 3, 9, 27, and 81.

The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144.

The common factors are 1, 3, and 9. Therefore, the greatest common factor is 9.

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Q: What is the greatest common factor of 81 and 144?
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What is the greatest common factor of 36 81 and 144?

The greatest common factor (GCF) of 36 81 and 144 is 9.


What is the greatest common factor of 16 72 and 81?

The greatest common factor of 16 72 and 81 is 1.


What is the greatest common factor of 45 81 and 99?

The greatest common factor is 9


What are the greatest common factors of 45 and 81?

Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as 81, 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 81 are 1, 3, 9, 27, and 81. Examples: The common factors of 18 and 81 are 1, 3, and 9; the greatest common factor is 9. The common factors of 20 and 81 are only 1; the greatest common factor is 1. The common factors of 39 and 81 are 1 and 3; the greatest common factor is 3. The common factors of 81 and 243 are 1, 3, 9, 27, and 81; the greatest common factor is 81.


What is the greatest common factor for 36 and 81?

Ah, finding the greatest common factor is like finding a happy little tree in a forest. For 36 and 81, we look for the largest number that can divide evenly into both. The greatest common factor for 36 and 81 is 9, like a gentle breeze on a sunny day.