What is the Greatest Common Factor of 18780 and 18795?

Greatest common factor (GCF) of 18780 and 18795 is 15.

GCF(18780,18795) = 15

We will now calculate the prime factors of 18780 and 18795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18780 and 18795.

How to find the GCF of 18780 and 18795?

We will first find the prime factorization of 18780 and 18795. After we will calculate the factors of 18780 and 18795 and find the biggest common factor number .

Step-1: Prime Factorization of 18780

Prime factors of 18780 are 2, 3, 5, 313. Prime factorization of 18780 in exponential form is:

18780 = 2² × 3¹ × 5¹ × 313¹

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 18780

List of positive integer factors of 18780 that divides 18780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 313, 626, 939, 1252, 1565, 1878, 3130, 3756, 4695, 6260, 9390

Step-4: Factors of 18795

List of positive integer factors of 18795 that divides 18780 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 18780 and 18795. The biggest common factor number is the GCF number.
So the greatest common factor 18780 and 18795 is 15.

Also check out the Least Common Multiple of 18780 and 18795