What is the Greatest Common Factor of 20331 and 20337?

Greatest common factor (GCF) of 20331 and 20337 is 3.

GCF(20331,20337) = 3

We will now calculate the prime factors of 20331 and 20337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20331 and 20337.

How to find the GCF of 20331 and 20337?

We will first find the prime factorization of 20331 and 20337. After we will calculate the factors of 20331 and 20337 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 20337

Prime factors of 20337 are 3, 6779. Prime factorization of 20337 in exponential form is:

20337 = 3¹ × 6779¹

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 20337

List of positive integer factors of 20337 that divides 20331 without a remainder.

1, 3, 6779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20331 and 20337. The biggest common factor number is the GCF number.
So the greatest common factor 20331 and 20337 is 3.

Also check out the Least Common Multiple of 20331 and 20337