What is the Greatest Common Factor of 18799 and 18810?

Greatest common factor (GCF) of 18799 and 18810 is 11.

GCF(18799,18810) = 11

We will now calculate the prime factors of 18799 and 18810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18799 and 18810.

How to find the GCF of 18799 and 18810?

We will first find the prime factorization of 18799 and 18810. After we will calculate the factors of 18799 and 18810 and find the biggest common factor number .

Step-1: Prime Factorization of 18799

Prime factors of 18799 are 11, 1709. Prime factorization of 18799 in exponential form is:

18799 = 11¹ × 1709¹

Step-2: 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-3: Factors of 18799

List of positive integer factors of 18799 that divides 18799 without a remainder.

1, 11, 1709

Step-4: Factors of 18810

List of positive integer factors of 18810 that divides 18799 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18799 and 18810. The biggest common factor number is the GCF number.
So the greatest common factor 18799 and 18810 is 11.

Also check out the Least Common Multiple of 18799 and 18810