What is the Greatest Common Factor of 20384 and 20393?

Greatest common factor (GCF) of 20384 and 20393 is 1.

GCF(20384,20393) = 1

We will now calculate the prime factors of 20384 and 20393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20384 and 20393.

How to find the GCF of 20384 and 20393?

We will first find the prime factorization of 20384 and 20393. After we will calculate the factors of 20384 and 20393 and find the biggest common factor number .

Step-1: Prime Factorization of 20384

Prime factors of 20384 are 2, 7, 13. Prime factorization of 20384 in exponential form is:

20384 = 2⁵ × 7² × 13¹

Step-2: Prime Factorization of 20393

Prime factors of 20393 are 20393. Prime factorization of 20393 in exponential form is:

20393 = 20393¹

Step-3: Factors of 20384

List of positive integer factors of 20384 that divides 20384 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 49, 52, 56, 91, 98, 104, 112, 182, 196, 208, 224, 364, 392, 416, 637, 728, 784, 1274, 1456, 1568, 2548, 2912, 5096, 10192

Step-4: Factors of 20393

List of positive integer factors of 20393 that divides 20384 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20384 and 20393. The biggest common factor number is the GCF number.
So the greatest common factor 20384 and 20393 is 1.

Also check out the Least Common Multiple of 20384 and 20393