What is the Greatest Common Factor of 21381 and 21386?

Greatest common factor (GCF) of 21381 and 21386 is 1.

GCF(21381,21386) = 1

We will now calculate the prime factors of 21381 and 21386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21381 and 21386.

How to find the GCF of 21381 and 21386?

We will first find the prime factorization of 21381 and 21386. After we will calculate the factors of 21381 and 21386 and find the biggest common factor number .

Step-1: Prime Factorization of 21381

Prime factors of 21381 are 3, 7127. Prime factorization of 21381 in exponential form is:

21381 = 3¹ × 7127¹

Step-2: Prime Factorization of 21386

Prime factors of 21386 are 2, 17, 37. Prime factorization of 21386 in exponential form is:

21386 = 2¹ × 17² × 37¹

Step-3: Factors of 21381

List of positive integer factors of 21381 that divides 21381 without a remainder.

1, 3, 7127

Step-4: Factors of 21386

List of positive integer factors of 21386 that divides 21381 without a remainder.

1, 2, 17, 34, 37, 74, 289, 578, 629, 1258, 10693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21381 and 21386. The biggest common factor number is the GCF number.
So the greatest common factor 21381 and 21386 is 1.

Also check out the Least Common Multiple of 21381 and 21386