What is the Greatest Common Factor of 20304 and 20312?

Greatest common factor (GCF) of 20304 and 20312 is 8.

GCF(20304,20312) = 8

We will now calculate the prime factors of 20304 and 20312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20304 and 20312.

How to find the GCF of 20304 and 20312?

We will first find the prime factorization of 20304 and 20312. After we will calculate the factors of 20304 and 20312 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 20312

Prime factors of 20312 are 2, 2539. Prime factorization of 20312 in exponential form is:

20312 = 2³ × 2539¹

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 20312

List of positive integer factors of 20312 that divides 20304 without a remainder.

1, 2, 4, 8, 2539, 5078, 10156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20304 and 20312. The biggest common factor number is the GCF number.
So the greatest common factor 20304 and 20312 is 8.

Also check out the Least Common Multiple of 20304 and 20312