What is the Greatest Common Factor of 31395 and 31401?

Greatest common factor (GCF) of 31395 and 31401 is 3.

GCF(31395,31401) = 3

We will now calculate the prime factors of 31395 and 31401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31395 and 31401.

How to find the GCF of 31395 and 31401?

We will first find the prime factorization of 31395 and 31401. After we will calculate the factors of 31395 and 31401 and find the biggest common factor number .

Step-1: Prime Factorization of 31395

Prime factors of 31395 are 3, 5, 7, 13, 23. Prime factorization of 31395 in exponential form is:

31395 = 3¹ × 5¹ × 7¹ × 13¹ × 23¹

Step-2: Prime Factorization of 31401

Prime factors of 31401 are 3, 1163. Prime factorization of 31401 in exponential form is:

31401 = 3³ × 1163¹

Step-3: Factors of 31395

List of positive integer factors of 31395 that divides 31395 without a remainder.

1, 3, 5, 7, 13, 15, 21, 23, 35, 39, 65, 69, 91, 105, 115, 161, 195, 273, 299, 345, 455, 483, 805, 897, 1365, 1495, 2093, 2415, 4485, 6279, 10465

Step-4: Factors of 31401

List of positive integer factors of 31401 that divides 31395 without a remainder.

1, 3, 9, 27, 1163, 3489, 10467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31395 and 31401. The biggest common factor number is the GCF number.
So the greatest common factor 31395 and 31401 is 3.

Also check out the Least Common Multiple of 31395 and 31401