What is the Greatest Common Factor of 21474 and 21491?

Greatest common factor (GCF) of 21474 and 21491 is 1.

GCF(21474,21491) = 1

We will now calculate the prime factors of 21474 and 21491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21474 and 21491.

How to find the GCF of 21474 and 21491?

We will first find the prime factorization of 21474 and 21491. After we will calculate the factors of 21474 and 21491 and find the biggest common factor number .

Step-1: Prime Factorization of 21474

Prime factors of 21474 are 2, 3, 1193. Prime factorization of 21474 in exponential form is:

21474 = 2¹ × 3² × 1193¹

Step-2: Prime Factorization of 21491

Prime factors of 21491 are 21491. Prime factorization of 21491 in exponential form is:

21491 = 21491¹

Step-3: Factors of 21474

List of positive integer factors of 21474 that divides 21474 without a remainder.

1, 2, 3, 6, 9, 18, 1193, 2386, 3579, 7158, 10737

Step-4: Factors of 21491

List of positive integer factors of 21491 that divides 21474 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21474 and 21491. The biggest common factor number is the GCF number.
So the greatest common factor 21474 and 21491 is 1.

Also check out the Least Common Multiple of 21474 and 21491