What is the Greatest Common Factor of 31329 and 31338?

Greatest common factor (GCF) of 31329 and 31338 is 9.

GCF(31329,31338) = 9

We will now calculate the prime factors of 31329 and 31338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31329 and 31338.

How to find the GCF of 31329 and 31338?

We will first find the prime factorization of 31329 and 31338. After we will calculate the factors of 31329 and 31338 and find the biggest common factor number .

Step-1: Prime Factorization of 31329

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

31329 = 3² × 59²

Step-2: Prime Factorization of 31338

Prime factors of 31338 are 2, 3, 1741. Prime factorization of 31338 in exponential form is:

31338 = 2¹ × 3² × 1741¹

Step-3: Factors of 31329

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

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

Step-4: Factors of 31338

List of positive integer factors of 31338 that divides 31329 without a remainder.

1, 2, 3, 6, 9, 18, 1741, 3482, 5223, 10446, 15669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31329 and 31338. The biggest common factor number is the GCF number.
So the greatest common factor 31329 and 31338 is 9.

Also check out the Least Common Multiple of 31329 and 31338