What is the Greatest Common Factor of 20321 and 20331?

Greatest common factor (GCF) of 20321 and 20331 is 1.

GCF(20321,20331) = 1

We will now calculate the prime factors of 20321 and 20331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20321 and 20331.

How to find the GCF of 20321 and 20331?

We will first find the prime factorization of 20321 and 20331. After we will calculate the factors of 20321 and 20331 and find the biggest common factor number .

Step-1: Prime Factorization of 20321

Prime factors of 20321 are 7, 2903. Prime factorization of 20321 in exponential form is:

20321 = 7¹ × 2903¹

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 20321

List of positive integer factors of 20321 that divides 20321 without a remainder.

1, 7, 2903

Step-4: Factors of 20331

List of positive integer factors of 20331 that divides 20321 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 20321 and 20331. The biggest common factor number is the GCF number.
So the greatest common factor 20321 and 20331 is 1.

Also check out the Least Common Multiple of 20321 and 20331