What is the Greatest Common Factor of 20311 and 20328?

Greatest common factor (GCF) of 20311 and 20328 is 1.

GCF(20311,20328) = 1

We will now calculate the prime factors of 20311 and 20328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20311 and 20328.

How to find the GCF of 20311 and 20328?

We will first find the prime factorization of 20311 and 20328. After we will calculate the factors of 20311 and 20328 and find the biggest common factor number .

Step-1: Prime Factorization of 20311

Prime factors of 20311 are 19, 1069. Prime factorization of 20311 in exponential form is:

20311 = 19¹ × 1069¹

Step-2: 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-3: Factors of 20311

List of positive integer factors of 20311 that divides 20311 without a remainder.

1, 19, 1069

Step-4: Factors of 20328

List of positive integer factors of 20328 that divides 20311 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20311 and 20328. The biggest common factor number is the GCF number.
So the greatest common factor 20311 and 20328 is 1.

Also check out the Least Common Multiple of 20311 and 20328