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The Greatest Common Factor (GCF) of 1 and 12 is 1

Q: What is the greatest common factor of 1 and 12?

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Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as 12, 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 12 are 1, 2, 3, 4, 6, and 12. Examples: The common factors of 7 and 12 are only 1; the greatest common factor is 1. The common factors of 12 and 16 are 1, 2, and 4; the greatest common factor is 4. The common factors of 12 and 18 are 1, 2, 3, and 6; the greatest common factor is 6. The common factors of 12 and 30 are 1, 2, 3, and 6; the greatest common factor is 6. The common factors of 12 and 34 are 1 and 2; the greatest common factor is 2. The common factors of 12 and 44 are 1, 2, and 4; the greatest common factor is 4. The common factors of 12 and 96 are 1, 2, 3, 4, 6, and 12; the greatest common factor is 12.