What is the Greatest Common Factor of 21369 and 21386?

Greatest common factor (GCF) of 21369 and 21386 is 17.

GCF(21369,21386) = 17

We will now calculate the prime factors of 21369 and 21386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21369 and 21386.

How to find the GCF of 21369 and 21386?

We will first find the prime factorization of 21369 and 21386. After we will calculate the factors of 21369 and 21386 and find the biggest common factor number .

Step-1: Prime Factorization of 21369

Prime factors of 21369 are 3, 17, 419. Prime factorization of 21369 in exponential form is:

21369 = 3¹ × 17¹ × 419¹

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 21369

List of positive integer factors of 21369 that divides 21369 without a remainder.

1, 3, 17, 51, 419, 1257, 7123

Step-4: Factors of 21386

List of positive integer factors of 21386 that divides 21369 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 21369 and 21386. The biggest common factor number is the GCF number.
So the greatest common factor 21369 and 21386 is 17.

Also check out the Least Common Multiple of 21369 and 21386