What is the Greatest Common Factor of 20382 and 20397?

Greatest common factor (GCF) of 20382 and 20397 is 3.

GCF(20382,20397) = 3

We will now calculate the prime factors of 20382 and 20397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20382 and 20397.

How to find the GCF of 20382 and 20397?

We will first find the prime factorization of 20382 and 20397. After we will calculate the factors of 20382 and 20397 and find the biggest common factor number .

Step-1: Prime Factorization of 20382

Prime factors of 20382 are 2, 3, 43, 79. Prime factorization of 20382 in exponential form is:

20382 = 2¹ × 3¹ × 43¹ × 79¹

Step-2: Prime Factorization of 20397

Prime factors of 20397 are 3, 13, 523. Prime factorization of 20397 in exponential form is:

20397 = 3¹ × 13¹ × 523¹

Step-3: Factors of 20382

List of positive integer factors of 20382 that divides 20382 without a remainder.

1, 2, 3, 6, 43, 79, 86, 129, 158, 237, 258, 474, 3397, 6794, 10191

Step-4: Factors of 20397

List of positive integer factors of 20397 that divides 20382 without a remainder.

1, 3, 13, 39, 523, 1569, 6799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20382 and 20397. The biggest common factor number is the GCF number.
So the greatest common factor 20382 and 20397 is 3.

Also check out the Least Common Multiple of 20382 and 20397