What is the Greatest Common Factor of 31347 and 31361?

Greatest common factor (GCF) of 31347 and 31361 is 1.

GCF(31347,31361) = 1

We will now calculate the prime factors of 31347 and 31361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31347 and 31361.

How to find the GCF of 31347 and 31361?

We will first find the prime factorization of 31347 and 31361. After we will calculate the factors of 31347 and 31361 and find the biggest common factor number .

Step-1: Prime Factorization of 31347

Prime factors of 31347 are 3, 43. Prime factorization of 31347 in exponential form is:

31347 = 3⁶ × 43¹

Step-2: Prime Factorization of 31361

Prime factors of 31361 are 11, 2851. Prime factorization of 31361 in exponential form is:

31361 = 11¹ × 2851¹

Step-3: Factors of 31347

List of positive integer factors of 31347 that divides 31347 without a remainder.

1, 3, 9, 27, 43, 81, 129, 243, 387, 729, 1161, 3483, 10449

Step-4: Factors of 31361

List of positive integer factors of 31361 that divides 31347 without a remainder.

1, 11, 2851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31347 and 31361. The biggest common factor number is the GCF number.
So the greatest common factor 31347 and 31361 is 1.

Also check out the Least Common Multiple of 31347 and 31361