What is the Greatest Common Factor of 31382 and 31395?

Greatest common factor (GCF) of 31382 and 31395 is 13.

GCF(31382,31395) = 13

We will now calculate the prime factors of 31382 and 31395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31382 and 31395.

How to find the GCF of 31382 and 31395?

We will first find the prime factorization of 31382 and 31395. After we will calculate the factors of 31382 and 31395 and find the biggest common factor number .

Step-1: Prime Factorization of 31382

Prime factors of 31382 are 2, 13, 17, 71. Prime factorization of 31382 in exponential form is:

31382 = 2¹ × 13¹ × 17¹ × 71¹

Step-2: 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-3: Factors of 31382

List of positive integer factors of 31382 that divides 31382 without a remainder.

1, 2, 13, 17, 26, 34, 71, 142, 221, 442, 923, 1207, 1846, 2414, 15691

Step-4: Factors of 31395

List of positive integer factors of 31395 that divides 31382 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31382 and 31395. The biggest common factor number is the GCF number.
So the greatest common factor 31382 and 31395 is 13.

Also check out the Least Common Multiple of 31382 and 31395