What is the Greatest Common Factor of 21438 and 21454?

Greatest common factor (GCF) of 21438 and 21454 is 2.

GCF(21438,21454) = 2

We will now calculate the prime factors of 21438 and 21454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21438 and 21454.

How to find the GCF of 21438 and 21454?

We will first find the prime factorization of 21438 and 21454. After we will calculate the factors of 21438 and 21454 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 21454

Prime factors of 21454 are 2, 17, 631. Prime factorization of 21454 in exponential form is:

21454 = 2¹ × 17¹ × 631¹

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 21454

List of positive integer factors of 21454 that divides 21438 without a remainder.

1, 2, 17, 34, 631, 1262, 10727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21438 and 21454. The biggest common factor number is the GCF number.
So the greatest common factor 21438 and 21454 is 2.

Also check out the Least Common Multiple of 21438 and 21454