What is the Greatest Common Factor of 20772 and 20790?

Greatest common factor (GCF) of 20772 and 20790 is 18.

GCF(20772,20790) = 18

We will now calculate the prime factors of 20772 and 20790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20772 and 20790.

How to find the GCF of 20772 and 20790?

We will first find the prime factorization of 20772 and 20790. After we will calculate the factors of 20772 and 20790 and find the biggest common factor number .

Step-1: Prime Factorization of 20772

Prime factors of 20772 are 2, 3, 577. Prime factorization of 20772 in exponential form is:

20772 = 2² × 3² × 577¹

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 20772

List of positive integer factors of 20772 that divides 20772 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 577, 1154, 1731, 2308, 3462, 5193, 6924, 10386

Step-4: Factors of 20790

List of positive integer factors of 20790 that divides 20772 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 20772 and 20790. The biggest common factor number is the GCF number.
So the greatest common factor 20772 and 20790 is 18.

Also check out the Least Common Multiple of 20772 and 20790