What is the Greatest Common Factor of 20328 and 20343?

Greatest common factor (GCF) of 20328 and 20343 is 3.

GCF(20328,20343) = 3

We will now calculate the prime factors of 20328 and 20343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20328 and 20343.

How to find the GCF of 20328 and 20343?

We will first find the prime factorization of 20328 and 20343. After we will calculate the factors of 20328 and 20343 and find the biggest common factor number .

Step-1: Prime Factorization of 20328

Prime factors of 20328 are 2, 3, 7, 11. Prime factorization of 20328 in exponential form is:

20328 = 2³ × 3¹ × 7¹ × 11²

Step-2: Prime Factorization of 20343

Prime factors of 20343 are 3, 6781. Prime factorization of 20343 in exponential form is:

20343 = 3¹ × 6781¹

Step-3: Factors of 20328

List of positive integer factors of 20328 that divides 20328 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42, 44, 56, 66, 77, 84, 88, 121, 132, 154, 168, 231, 242, 264, 308, 363, 462, 484, 616, 726, 847, 924, 968, 1452, 1694, 1848, 2541, 2904, 3388, 5082, 6776, 10164

Step-4: Factors of 20343

List of positive integer factors of 20343 that divides 20328 without a remainder.

1, 3, 6781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20328 and 20343. The biggest common factor number is the GCF number.
So the greatest common factor 20328 and 20343 is 3.

Also check out the Least Common Multiple of 20328 and 20343