What is the Greatest Common Factor of 30789 and 30805?

Greatest common factor (GCF) of 30789 and 30805 is 1.

GCF(30789,30805) = 1

We will now calculate the prime factors of 30789 and 30805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30789 and 30805.

How to find the GCF of 30789 and 30805?

We will first find the prime factorization of 30789 and 30805. After we will calculate the factors of 30789 and 30805 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30805

Prime factors of 30805 are 5, 61, 101. Prime factorization of 30805 in exponential form is:

30805 = 5¹ × 61¹ × 101¹

Step-3: Factors of 30789

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

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

Step-4: Factors of 30805

List of positive integer factors of 30805 that divides 30789 without a remainder.

1, 5, 61, 101, 305, 505, 6161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30789 and 30805. The biggest common factor number is the GCF number.
So the greatest common factor 30789 and 30805 is 1.

Also check out the Least Common Multiple of 30789 and 30805