What is the Greatest Common Factor of 20331 and 20343?

Greatest common factor (GCF) of 20331 and 20343 is 3.

GCF(20331,20343) = 3

We will now calculate the prime factors of 20331 and 20343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20331 and 20343.

How to find the GCF of 20331 and 20343?

We will first find the prime factorization of 20331 and 20343. After we will calculate the factors of 20331 and 20343 and find the biggest common factor number .

Step-1: Prime Factorization of 20331

Prime factors of 20331 are 3, 251. Prime factorization of 20331 in exponential form is:

20331 = 3⁴ × 251¹

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 20331

List of positive integer factors of 20331 that divides 20331 without a remainder.

1, 3, 9, 27, 81, 251, 753, 2259, 6777

Step-4: Factors of 20343

List of positive integer factors of 20343 that divides 20331 without a remainder.

1, 3, 6781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20331 and 20343. The biggest common factor number is the GCF number.
So the greatest common factor 20331 and 20343 is 3.

Also check out the Least Common Multiple of 20331 and 20343