What is the Greatest Common Factor of 20304 and 20323?

Greatest common factor (GCF) of 20304 and 20323 is 1.

GCF(20304,20323) = 1

We will now calculate the prime factors of 20304 and 20323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20304 and 20323.

How to find the GCF of 20304 and 20323?

We will first find the prime factorization of 20304 and 20323. After we will calculate the factors of 20304 and 20323 and find the biggest common factor number .

Step-1: Prime Factorization of 20304

Prime factors of 20304 are 2, 3, 47. Prime factorization of 20304 in exponential form is:

20304 = 2⁴ × 3³ × 47¹

Step-2: Prime Factorization of 20323

Prime factors of 20323 are 20323. Prime factorization of 20323 in exponential form is:

20323 = 20323¹

Step-3: Factors of 20304

List of positive integer factors of 20304 that divides 20304 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 47, 48, 54, 72, 94, 108, 141, 144, 188, 216, 282, 376, 423, 432, 564, 752, 846, 1128, 1269, 1692, 2256, 2538, 3384, 5076, 6768, 10152

Step-4: Factors of 20323

List of positive integer factors of 20323 that divides 20304 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20304 and 20323. The biggest common factor number is the GCF number.
So the greatest common factor 20304 and 20323 is 1.

Also check out the Least Common Multiple of 20304 and 20323