What is the Greatest Common Factor of 30780 and 30789?

Greatest common factor (GCF) of 30780 and 30789 is 9.

GCF(30780,30789) = 9

We will now calculate the prime factors of 30780 and 30789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30780 and 30789.

How to find the GCF of 30780 and 30789?

We will first find the prime factorization of 30780 and 30789. After we will calculate the factors of 30780 and 30789 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 30789

Prime factors of 30789 are 3, 11, 311. Prime factorization of 30789 in exponential form is:

30789 = 3² × 11¹ × 311¹

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 30789

List of positive integer factors of 30789 that divides 30780 without a remainder.

1, 3, 9, 11, 33, 99, 311, 933, 2799, 3421, 10263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30780 and 30789. The biggest common factor number is the GCF number.
So the greatest common factor 30780 and 30789 is 9.

Also check out the Least Common Multiple of 30780 and 30789