The only common factor of these numbers is 1.
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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 100, 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 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. Examples: The common factors of 35 and 100 are 1 and 5; the greatest common factor is 5. The common factors of 78 and 100 are 1 and 2; the greatest common factor is 2. The common factors of 100 and 625 are 1, 5, and 25; the greatest common factor is 25.
The common factors are: 1, 5, 25.
The factors of all of the numbers from 1 to 100 are all of the numbers from 1 to 50.
Common factors are found by comparing the factors of sets of numbers. The common factor of any group of consecutive numbers is 1. I suspect you might want to know the factors of those numbers rather than the common factors. If so, ask that question. It has been answered here many times before.
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 both numbers have in common. 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 85 are 1, 5, 17, and 85. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. The common factors are 1 and 5. Therefore, the greatest common factor is 5.