There are thousands of conversion factors and it is not possible to list them all.
There are over 30 units of length listed in Wikipedia "unit of length" - some are more common than others but most are in use. The count does not include the 20 or so SI prefices (milli, centi, kilo etc), making around 50 units in all.
Each pair of measurement units will have two conversion factor: from A to B and from B to A. So just lengths will give rise to approx 50*50 (or 2500) conversion factors. Then there are measures for area, volume, mass, weight, force, work, ...
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Conversion factors are ways to translate one unit of measurement to another. Example: To convert miles to feet, multiply by 5280. Common conversion factors are those that are used more often.
If the numerator and denominator are prime numbers and not equal then they don't have common factors (except 1 which would be a common factor even if the numerator and denominator were prime numbers).
simplest form
Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as 1734, 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.
There is neither a greatest common factor nor common factors of a single number, such as 3654, 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.
That's called the greatest common factor, or GCF.