What is the Greatest Common Factor of 21438 and 21443?

Greatest common factor (GCF) of 21438 and 21443 is 1.

GCF(21438,21443) = 1

We will now calculate the prime factors of 21438 and 21443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21438 and 21443.

How to find the GCF of 21438 and 21443?

We will first find the prime factorization of 21438 and 21443. After we will calculate the factors of 21438 and 21443 and find the biggest common factor number .

Step-1: Prime Factorization of 21438

Prime factors of 21438 are 2, 3, 397. Prime factorization of 21438 in exponential form is:

21438 = 2¹ × 3³ × 397¹

Step-2: Prime Factorization of 21443

Prime factors of 21443 are 41, 523. Prime factorization of 21443 in exponential form is:

21443 = 41¹ × 523¹

Step-3: Factors of 21438

List of positive integer factors of 21438 that divides 21438 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 397, 794, 1191, 2382, 3573, 7146, 10719

Step-4: Factors of 21443

List of positive integer factors of 21443 that divides 21438 without a remainder.

1, 41, 523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21438 and 21443. The biggest common factor number is the GCF number.
So the greatest common factor 21438 and 21443 is 1.

Also check out the Least Common Multiple of 21438 and 21443