What is the Greatest Common Factor of 21459 and 21467?

Greatest common factor (GCF) of 21459 and 21467 is 1.

GCF(21459,21467) = 1

We will now calculate the prime factors of 21459 and 21467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21459 and 21467.

How to find the GCF of 21459 and 21467?

We will first find the prime factorization of 21459 and 21467. After we will calculate the factors of 21459 and 21467 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 21467

Prime factors of 21467 are 21467. Prime factorization of 21467 in exponential form is:

21467 = 21467¹

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 21467

List of positive integer factors of 21467 that divides 21459 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21459 and 21467. The biggest common factor number is the GCF number.
So the greatest common factor 21459 and 21467 is 1.

Also check out the Least Common Multiple of 21459 and 21467