What is the Greatest Common Factor of 20790 and 20808?

Greatest common factor (GCF) of 20790 and 20808 is 18.

GCF(20790,20808) = 18

We will now calculate the prime factors of 20790 and 20808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20790 and 20808.

How to find the GCF of 20790 and 20808?

We will first find the prime factorization of 20790 and 20808. After we will calculate the factors of 20790 and 20808 and find the biggest common factor number .

Step-1: Prime Factorization of 20790

Prime factors of 20790 are 2, 3, 5, 7, 11. Prime factorization of 20790 in exponential form is:

20790 = 2¹ × 3³ × 5¹ × 7¹ × 11¹

Step-2: Prime Factorization of 20808

Prime factors of 20808 are 2, 3, 17. Prime factorization of 20808 in exponential form is:

20808 = 2³ × 3² × 17²

Step-3: Factors of 20790

List of positive integer factors of 20790 that divides 20790 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 11, 14, 15, 18, 21, 22, 27, 30, 33, 35, 42, 45, 54, 55, 63, 66, 70, 77, 90, 99, 105, 110, 126, 135, 154, 165, 189, 198, 210, 231, 270, 297, 315, 330, 378, 385, 462, 495, 594, 630, 693, 770, 945, 990, 1155, 1386, 1485, 1890, 2079, 2310, 2970, 3465, 4158, 6930, 10395

Step-4: Factors of 20808

List of positive integer factors of 20808 that divides 20790 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 289, 306, 408, 578, 612, 867, 1156, 1224, 1734, 2312, 2601, 3468, 5202, 6936, 10404

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20790 and 20808. The biggest common factor number is the GCF number.
So the greatest common factor 20790 and 20808 is 18.

Also check out the Least Common Multiple of 20790 and 20808