What is the Greatest Common Factor of 18795 and 18815?

Greatest common factor (GCF) of 18795 and 18815 is 5.

GCF(18795,18815) = 5

We will now calculate the prime factors of 18795 and 18815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18795 and 18815.

How to find the GCF of 18795 and 18815?

We will first find the prime factorization of 18795 and 18815. After we will calculate the factors of 18795 and 18815 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18815

Prime factors of 18815 are 5, 53, 71. Prime factorization of 18815 in exponential form is:

18815 = 5¹ × 53¹ × 71¹

Step-3: Factors of 18795

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

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

Step-4: Factors of 18815

List of positive integer factors of 18815 that divides 18795 without a remainder.

1, 5, 53, 71, 265, 355, 3763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18795 and 18815. The biggest common factor number is the GCF number.
So the greatest common factor 18795 and 18815 is 5.

Also check out the Least Common Multiple of 18795 and 18815