What is the Greatest Common Factor of 20331 and 20346?

Greatest common factor (GCF) of 20331 and 20346 is 3.

GCF(20331,20346) = 3

We will now calculate the prime factors of 20331 and 20346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20331 and 20346.

How to find the GCF of 20331 and 20346?

We will first find the prime factorization of 20331 and 20346. After we will calculate the factors of 20331 and 20346 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 20346

Prime factors of 20346 are 2, 3, 3391. Prime factorization of 20346 in exponential form is:

20346 = 2¹ × 3¹ × 3391¹

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 20346

List of positive integer factors of 20346 that divides 20331 without a remainder.

1, 2, 3, 6, 3391, 6782, 10173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20331 and 20346. The biggest common factor number is the GCF number.
So the greatest common factor 20331 and 20346 is 3.

Also check out the Least Common Multiple of 20331 and 20346