The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.
The greatest common factor of 170 and 255 is 85
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The greatest common factor of 85 and 255 is 85.
To find the greatest common factor (GCF) of two numbers, you need to determine the largest number that divides evenly into both numbers. To find the GCF of 510 and 2430, you can first list the factors of each number. The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, and 510. The factors of 2430 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, and 2430. The greatest common factor of 510 and 2430 is 30.
Common factors are factors that are common to two or more numbers. For example, 7 is a factor of 14, 49, and 35, therefore it is a common factor of those three numbers. 2, 4, and 17 are all factors of 136, and 3, 5, and 17 are all factors of 255, so 17 is a common factor of 136 and 255.
Factors of 136: 1, 2, 4, 8, 17, 34, 68, 136 Factors of 204: 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204 Factors of 255: 1, 3, 5, 15, 17, 51, 85, 255 GCF (136, 204, 255) = 17
255 = 3 x 5 x 17