What is the Greatest Common Factor of 18789 and 18795?

Greatest common factor (GCF) of 18789 and 18795 is 3.

GCF(18789,18795) = 3

We will now calculate the prime factors of 18789 and 18795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18789 and 18795.

How to find the GCF of 18789 and 18795?

We will first find the prime factorization of 18789 and 18795. After we will calculate the factors of 18789 and 18795 and find the biggest common factor number .

Step-1: Prime Factorization of 18789

Prime factors of 18789 are 3, 6263. Prime factorization of 18789 in exponential form is:

18789 = 3¹ × 6263¹

Step-2: Prime Factorization of 18795

Prime factors of 18795 are 3, 5, 7, 179. Prime factorization of 18795 in exponential form is:

18795 = 3¹ × 5¹ × 7¹ × 179¹

Step-3: Factors of 18789

List of positive integer factors of 18789 that divides 18789 without a remainder.

1, 3, 6263

Step-4: Factors of 18795

List of positive integer factors of 18795 that divides 18789 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 179, 537, 895, 1253, 2685, 3759, 6265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18789 and 18795. The biggest common factor number is the GCF number.
So the greatest common factor 18789 and 18795 is 3.

Also check out the Least Common Multiple of 18789 and 18795