What is the Greatest Common Factor of 21457 and 21474?

Greatest common factor (GCF) of 21457 and 21474 is 1.

GCF(21457,21474) = 1

We will now calculate the prime factors of 21457 and 21474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21457 and 21474.

How to find the GCF of 21457 and 21474?

We will first find the prime factorization of 21457 and 21474. After we will calculate the factors of 21457 and 21474 and find the biggest common factor number .

Step-1: Prime Factorization of 21457

Prime factors of 21457 are 43, 499. Prime factorization of 21457 in exponential form is:

21457 = 43¹ × 499¹

Step-2: 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-3: Factors of 21457

List of positive integer factors of 21457 that divides 21457 without a remainder.

1, 43, 499

Step-4: Factors of 21474

List of positive integer factors of 21474 that divides 21457 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21457 and 21474. The biggest common factor number is the GCF number.
So the greatest common factor 21457 and 21474 is 1.

Also check out the Least Common Multiple of 21457 and 21474