What is the Greatest Common Factor of 30780 and 30798?

Greatest common factor (GCF) of 30780 and 30798 is 18.

GCF(30780,30798) = 18

We will now calculate the prime factors of 30780 and 30798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30780 and 30798.

How to find the GCF of 30780 and 30798?

We will first find the prime factorization of 30780 and 30798. After we will calculate the factors of 30780 and 30798 and find the biggest common factor number .

Step-1: Prime Factorization of 30780

Prime factors of 30780 are 2, 3, 5, 19. Prime factorization of 30780 in exponential form is:

30780 = 2² × 3⁴ × 5¹ × 19¹

Step-2: Prime Factorization of 30798

Prime factors of 30798 are 2, 3, 29, 59. Prime factorization of 30798 in exponential form is:

30798 = 2¹ × 3² × 29¹ × 59¹

Step-3: Factors of 30780

List of positive integer factors of 30780 that divides 30780 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 27, 30, 36, 38, 45, 54, 57, 60, 76, 81, 90, 95, 108, 114, 135, 162, 171, 180, 190, 228, 270, 285, 324, 342, 380, 405, 513, 540, 570, 684, 810, 855, 1026, 1140, 1539, 1620, 1710, 2052, 2565, 3078, 3420, 5130, 6156, 7695, 10260, 15390

Step-4: Factors of 30798

List of positive integer factors of 30798 that divides 30780 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 59, 87, 118, 174, 177, 261, 354, 522, 531, 1062, 1711, 3422, 5133, 10266, 15399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30780 and 30798. The biggest common factor number is the GCF number.
So the greatest common factor 30780 and 30798 is 18.

Also check out the Least Common Multiple of 30780 and 30798