What is the Greatest Common Factor of 31311 and 31317?

Greatest common factor (GCF) of 31311 and 31317 is 3.

GCF(31311,31317) = 3

We will now calculate the prime factors of 31311 and 31317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31311 and 31317.

How to find the GCF of 31311 and 31317?

We will first find the prime factorization of 31311 and 31317. After we will calculate the factors of 31311 and 31317 and find the biggest common factor number .

Step-1: Prime Factorization of 31311

Prime factors of 31311 are 3, 7, 71. Prime factorization of 31311 in exponential form is:

31311 = 3² × 7² × 71¹

Step-2: Prime Factorization of 31317

Prime factors of 31317 are 3, 11, 13, 73. Prime factorization of 31317 in exponential form is:

31317 = 3¹ × 11¹ × 13¹ × 73¹

Step-3: Factors of 31311

List of positive integer factors of 31311 that divides 31311 without a remainder.

1, 3, 7, 9, 21, 49, 63, 71, 147, 213, 441, 497, 639, 1491, 3479, 4473, 10437

Step-4: Factors of 31317

List of positive integer factors of 31317 that divides 31311 without a remainder.

1, 3, 11, 13, 33, 39, 73, 143, 219, 429, 803, 949, 2409, 2847, 10439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31311 and 31317. The biggest common factor number is the GCF number.
So the greatest common factor 31311 and 31317 is 3.

Also check out the Least Common Multiple of 31311 and 31317