What is the Greatest Common Factor of 31323 and 31341?

Greatest common factor (GCF) of 31323 and 31341 is 3.

GCF(31323,31341) = 3

We will now calculate the prime factors of 31323 and 31341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31323 and 31341.

How to find the GCF of 31323 and 31341?

We will first find the prime factorization of 31323 and 31341. After we will calculate the factors of 31323 and 31341 and find the biggest common factor number .

Step-1: Prime Factorization of 31323

Prime factors of 31323 are 3, 53, 197. Prime factorization of 31323 in exponential form is:

31323 = 3¹ × 53¹ × 197¹

Step-2: Prime Factorization of 31341

Prime factors of 31341 are 3, 31, 337. Prime factorization of 31341 in exponential form is:

31341 = 3¹ × 31¹ × 337¹

Step-3: Factors of 31323

List of positive integer factors of 31323 that divides 31323 without a remainder.

1, 3, 53, 159, 197, 591, 10441

Step-4: Factors of 31341

List of positive integer factors of 31341 that divides 31323 without a remainder.

1, 3, 31, 93, 337, 1011, 10447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31323 and 31341. The biggest common factor number is the GCF number.
So the greatest common factor 31323 and 31341 is 3.

Also check out the Least Common Multiple of 31323 and 31341