What is the Greatest Common Factor of 30789 and 30795?

Greatest common factor (GCF) of 30789 and 30795 is 3.

GCF(30789,30795) = 3

We will now calculate the prime factors of 30789 and 30795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30789 and 30795.

How to find the GCF of 30789 and 30795?

We will first find the prime factorization of 30789 and 30795. After we will calculate the factors of 30789 and 30795 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 30795

Prime factors of 30795 are 3, 5, 2053. Prime factorization of 30795 in exponential form is:

30795 = 3¹ × 5¹ × 2053¹

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 30795

List of positive integer factors of 30795 that divides 30789 without a remainder.

1, 3, 5, 15, 2053, 6159, 10265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30789 and 30795. The biggest common factor number is the GCF number.
So the greatest common factor 30789 and 30795 is 3.

Also check out the Least Common Multiple of 30789 and 30795