What is the Greatest Common Factor of 21795 and 21810?

Greatest common factor (GCF) of 21795 and 21810 is 15.

GCF(21795,21810) = 15

We will now calculate the prime factors of 21795 and 21810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21795 and 21810.

How to find the GCF of 21795 and 21810?

We will first find the prime factorization of 21795 and 21810. After we will calculate the factors of 21795 and 21810 and find the biggest common factor number .

Step-1: Prime Factorization of 21795

Prime factors of 21795 are 3, 5, 1453. Prime factorization of 21795 in exponential form is:

21795 = 3¹ × 5¹ × 1453¹

Step-2: Prime Factorization of 21810

Prime factors of 21810 are 2, 3, 5, 727. Prime factorization of 21810 in exponential form is:

21810 = 2¹ × 3¹ × 5¹ × 727¹

Step-3: Factors of 21795

List of positive integer factors of 21795 that divides 21795 without a remainder.

1, 3, 5, 15, 1453, 4359, 7265

Step-4: Factors of 21810

List of positive integer factors of 21810 that divides 21795 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 727, 1454, 2181, 3635, 4362, 7270, 10905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21795 and 21810. The biggest common factor number is the GCF number.
So the greatest common factor 21795 and 21810 is 15.

Also check out the Least Common Multiple of 21795 and 21810