What is the Greatest Common Factor of 31321 and 31329?

Greatest common factor (GCF) of 31321 and 31329 is 1.

GCF(31321,31329) = 1

We will now calculate the prime factors of 31321 and 31329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31321 and 31329.

How to find the GCF of 31321 and 31329?

We will first find the prime factorization of 31321 and 31329. After we will calculate the factors of 31321 and 31329 and find the biggest common factor number .

Step-1: Prime Factorization of 31321

Prime factors of 31321 are 31321. Prime factorization of 31321 in exponential form is:

31321 = 31321¹

Step-2: Prime Factorization of 31329

Prime factors of 31329 are 3, 59. Prime factorization of 31329 in exponential form is:

31329 = 3² × 59²

Step-3: Factors of 31321

List of positive integer factors of 31321 that divides 31321 without a remainder.

Step-4: Factors of 31329

List of positive integer factors of 31329 that divides 31321 without a remainder.

1, 3, 9, 59, 177, 531, 3481, 10443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31321 and 31329. The biggest common factor number is the GCF number.
So the greatest common factor 31321 and 31329 is 1.

Also check out the Least Common Multiple of 31321 and 31329