What is the Greatest Common Factor of 17820 and 17831?

Greatest common factor (GCF) of 17820 and 17831 is 11.

GCF(17820,17831) = 11

We will now calculate the prime factors of 17820 and 17831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17820 and 17831.

How to find the GCF of 17820 and 17831?

We will first find the prime factorization of 17820 and 17831. After we will calculate the factors of 17820 and 17831 and find the biggest common factor number .

Step-1: Prime Factorization of 17820

Prime factors of 17820 are 2, 3, 5, 11. Prime factorization of 17820 in exponential form is:

17820 = 2² × 3⁴ × 5¹ × 11¹

Step-2: Prime Factorization of 17831

Prime factors of 17831 are 11, 1621. Prime factorization of 17831 in exponential form is:

17831 = 11¹ × 1621¹

Step-3: Factors of 17820

List of positive integer factors of 17820 that divides 17820 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 27, 30, 33, 36, 44, 45, 54, 55, 60, 66, 81, 90, 99, 108, 110, 132, 135, 162, 165, 180, 198, 220, 270, 297, 324, 330, 396, 405, 495, 540, 594, 660, 810, 891, 990, 1188, 1485, 1620, 1782, 1980, 2970, 3564, 4455, 5940, 8910

Step-4: Factors of 17831

List of positive integer factors of 17831 that divides 17820 without a remainder.

1, 11, 1621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17820 and 17831. The biggest common factor number is the GCF number.
So the greatest common factor 17820 and 17831 is 11.

Also check out the Least Common Multiple of 17820 and 17831