What is the Greatest Common Factor of 21438 and 21444?

Greatest common factor (GCF) of 21438 and 21444 is 6.

GCF(21438,21444) = 6

We will now calculate the prime factors of 21438 and 21444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21438 and 21444.

How to find the GCF of 21438 and 21444?

We will first find the prime factorization of 21438 and 21444. After we will calculate the factors of 21438 and 21444 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 21444

Prime factors of 21444 are 2, 3, 1787. Prime factorization of 21444 in exponential form is:

21444 = 2² × 3¹ × 1787¹

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 21444

List of positive integer factors of 21444 that divides 21438 without a remainder.

1, 2, 3, 4, 6, 12, 1787, 3574, 5361, 7148, 10722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21438 and 21444. The biggest common factor number is the GCF number.
So the greatest common factor 21438 and 21444 is 6.

Also check out the Least Common Multiple of 21438 and 21444