What is the Greatest Common Factor of 20319 and 20331?

Greatest common factor (GCF) of 20319 and 20331 is 3.

GCF(20319,20331) = 3

We will now calculate the prime factors of 20319 and 20331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20319 and 20331.

How to find the GCF of 20319 and 20331?

We will first find the prime factorization of 20319 and 20331. After we will calculate the factors of 20319 and 20331 and find the biggest common factor number .

Step-1: Prime Factorization of 20319

Prime factors of 20319 are 3, 13, 521. Prime factorization of 20319 in exponential form is:

20319 = 3¹ × 13¹ × 521¹

Step-2: Prime Factorization of 20331

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

20331 = 3⁴ × 251¹

Step-3: Factors of 20319

List of positive integer factors of 20319 that divides 20319 without a remainder.

1, 3, 13, 39, 521, 1563, 6773

Step-4: Factors of 20331

List of positive integer factors of 20331 that divides 20319 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20319 and 20331. The biggest common factor number is the GCF number.
So the greatest common factor 20319 and 20331 is 3.

Also check out the Least Common Multiple of 20319 and 20331