What is the Greatest Common Factor of 21459 and 21465?

Greatest common factor (GCF) of 21459 and 21465 is 3.

GCF(21459,21465) = 3

We will now calculate the prime factors of 21459 and 21465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21459 and 21465.

How to find the GCF of 21459 and 21465?

We will first find the prime factorization of 21459 and 21465. After we will calculate the factors of 21459 and 21465 and find the biggest common factor number .

Step-1: Prime Factorization of 21459

Prime factors of 21459 are 3, 23, 311. Prime factorization of 21459 in exponential form is:

21459 = 3¹ × 23¹ × 311¹

Step-2: Prime Factorization of 21465

Prime factors of 21465 are 3, 5, 53. Prime factorization of 21465 in exponential form is:

21465 = 3⁴ × 5¹ × 53¹

Step-3: Factors of 21459

List of positive integer factors of 21459 that divides 21459 without a remainder.

1, 3, 23, 69, 311, 933, 7153

Step-4: Factors of 21465

List of positive integer factors of 21465 that divides 21459 without a remainder.

1, 3, 5, 9, 15, 27, 45, 53, 81, 135, 159, 265, 405, 477, 795, 1431, 2385, 4293, 7155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21459 and 21465. The biggest common factor number is the GCF number.
So the greatest common factor 21459 and 21465 is 3.

Also check out the Least Common Multiple of 21459 and 21465