Q: What is greatest common factor of 165 and 110?

Write your answer...

Submit

Still have questions?

Continue Learning about Movies & Television

The GCF is 5.

The GCF is 1.

Factors of 165: 1, 3, 5, 11, 15, 33, 55, 165.Factors of 198: 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198.GCF (165, 198) = 33

For small numbers which we can factorize easily, it is practical to use prime factorizations to find the greatest common factor. For larger numbers, however, this is not always practical. So instead we use the Euclidean Algorithm, as follows. (Here, * means multiply.) 330495 = 400 * 825 + 495 825 = 1 * 495 + 330 495 = 1 * 330 + 165 330 = 2 * 165 + 0 At each step, we divide one number by the other and get a remainder. (So when 330495 is divided by 825 the remainder is 495, etc). So we get the sequence 330495 , 825 , 495 , 330 , 165 , 0. Every common factor of 330495 and 825 is also a factor of 495, and every common factor of 825 and 495 is also a factor of 330495. Therefore the common factors of 330495 and 825 are precisely the common factors of 825 and 495. Similarly, the common factors of 825 and 495 are precisely the common factors of 495 and 330; and the common factors of 495 and 330 are precisely the common factors of 330 and 165; and these are precisely the factors of 165. In short, the common factors of the original two numbers are the factors of 165 (including 165 itself) and no others.

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 42 and 385 is 7

Related questions

The Greatest Common Factor of 165 and 110 are is 55.

The greatest common factor of the numbers 165 and 6 is 3.

The Greatest Common Factor of 99, 132, 165: 33

The Greatest Common Factor of 165, 48, 60: 3

The Greatest Common Factor (GCF) is: 15

The GCF of 75 and 165 is 15

The greatest common factor of 30 and 165 is 15.

The GCF of 64 and 165 is 1.

The Greatest Common Factor (GCF) is: 5

5

5

15