What is the Greatest Common Factor of 18791 and 18810?

Greatest common factor (GCF) of 18791 and 18810 is 19.

GCF(18791,18810) = 19

We will now calculate the prime factors of 18791 and 18810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18791 and 18810.

How to find the GCF of 18791 and 18810?

We will first find the prime factorization of 18791 and 18810. After we will calculate the factors of 18791 and 18810 and find the biggest common factor number .

Step-1: Prime Factorization of 18791

Prime factors of 18791 are 19, 23, 43. Prime factorization of 18791 in exponential form is:

18791 = 19¹ × 23¹ × 43¹

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 18791

List of positive integer factors of 18791 that divides 18791 without a remainder.

1, 19, 23, 43, 437, 817, 989

Step-4: Factors of 18810

List of positive integer factors of 18810 that divides 18791 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 18791 and 18810. The biggest common factor number is the GCF number.
So the greatest common factor 18791 and 18810 is 19.

Also check out the Least Common Multiple of 18791 and 18810