What is the Greatest Common Factor of 18810 and 18829?

Greatest common factor (GCF) of 18810 and 18829 is 19.

GCF(18810,18829) = 19

We will now calculate the prime factors of 18810 and 18829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18810 and 18829.

How to find the GCF of 18810 and 18829?

We will first find the prime factorization of 18810 and 18829. After we will calculate the factors of 18810 and 18829 and find the biggest common factor number .

Step-1: Prime Factorization of 18810

Prime factors of 18810 are 2, 3, 5, 11, 19. Prime factorization of 18810 in exponential form is:

18810 = 2¹ × 3² × 5¹ × 11¹ × 19¹

Step-2: Prime Factorization of 18829

Prime factors of 18829 are 19, 991. Prime factorization of 18829 in exponential form is:

18829 = 19¹ × 991¹

Step-3: Factors of 18810

List of positive integer factors of 18810 that divides 18810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 19, 22, 30, 33, 38, 45, 55, 57, 66, 90, 95, 99, 110, 114, 165, 171, 190, 198, 209, 285, 330, 342, 418, 495, 570, 627, 855, 990, 1045, 1254, 1710, 1881, 2090, 3135, 3762, 6270, 9405

Step-4: Factors of 18829

List of positive integer factors of 18829 that divides 18810 without a remainder.

1, 19, 991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18810 and 18829. The biggest common factor number is the GCF number.
So the greatest common factor 18810 and 18829 is 19.

Also check out the Least Common Multiple of 18810 and 18829