What is the Greatest Common Factor of 20785 and 20790?

Greatest common factor (GCF) of 20785 and 20790 is 5.

GCF(20785,20790) = 5

We will now calculate the prime factors of 20785 and 20790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20785 and 20790.

How to find the GCF of 20785 and 20790?

We will first find the prime factorization of 20785 and 20790. After we will calculate the factors of 20785 and 20790 and find the biggest common factor number .

Step-1: Prime Factorization of 20785

Prime factors of 20785 are 5, 4157. Prime factorization of 20785 in exponential form is:

20785 = 5¹ × 4157¹

Step-2: 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-3: Factors of 20785

List of positive integer factors of 20785 that divides 20785 without a remainder.

1, 5, 4157

Step-4: Factors of 20790

List of positive integer factors of 20790 that divides 20785 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20785 and 20790. The biggest common factor number is the GCF number.
So the greatest common factor 20785 and 20790 is 5.

Also check out the Least Common Multiple of 20785 and 20790