What is the Greatest Common Factor of 30780 and 30793?

Greatest common factor (GCF) of 30780 and 30793 is 1.

GCF(30780,30793) = 1

We will now calculate the prime factors of 30780 and 30793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30780 and 30793.

How to find the GCF of 30780 and 30793?

We will first find the prime factorization of 30780 and 30793. After we will calculate the factors of 30780 and 30793 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 30793

Prime factors of 30793 are 7, 53, 83. Prime factorization of 30793 in exponential form is:

30793 = 7¹ × 53¹ × 83¹

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 30793

List of positive integer factors of 30793 that divides 30780 without a remainder.

1, 7, 53, 83, 371, 581, 4399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30780 and 30793. The biggest common factor number is the GCF number.
So the greatest common factor 30780 and 30793 is 1.

Also check out the Least Common Multiple of 30780 and 30793