What is the Greatest Common Factor of 20328 and 20339?

Greatest common factor (GCF) of 20328 and 20339 is 11.

GCF(20328,20339) = 11

We will now calculate the prime factors of 20328 and 20339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20328 and 20339.

How to find the GCF of 20328 and 20339?

We will first find the prime factorization of 20328 and 20339. After we will calculate the factors of 20328 and 20339 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 20339

Prime factors of 20339 are 11, 43. Prime factorization of 20339 in exponential form is:

20339 = 11¹ × 43²

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 20339

List of positive integer factors of 20339 that divides 20328 without a remainder.

1, 11, 43, 473, 1849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20328 and 20339. The biggest common factor number is the GCF number.
So the greatest common factor 20328 and 20339 is 11.

Also check out the Least Common Multiple of 20328 and 20339