What is the Greatest Common Factor of 21382 and 21386?

Greatest common factor (GCF) of 21382 and 21386 is 2.

GCF(21382,21386) = 2

We will now calculate the prime factors of 21382 and 21386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21382 and 21386.

How to find the GCF of 21382 and 21386?

We will first find the prime factorization of 21382 and 21386. After we will calculate the factors of 21382 and 21386 and find the biggest common factor number .

Step-1: Prime Factorization of 21382

Prime factors of 21382 are 2, 10691. Prime factorization of 21382 in exponential form is:

21382 = 2¹ × 10691¹

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 21382

List of positive integer factors of 21382 that divides 21382 without a remainder.

1, 2, 10691

Step-4: Factors of 21386

List of positive integer factors of 21386 that divides 21382 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 21382 and 21386. The biggest common factor number is the GCF number.
So the greatest common factor 21382 and 21386 is 2.

Also check out the Least Common Multiple of 21382 and 21386