What is the Greatest Common Factor of 31382 and 31399?

Greatest common factor (GCF) of 31382 and 31399 is 17.

GCF(31382,31399) = 17

We will now calculate the prime factors of 31382 and 31399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31382 and 31399.

How to find the GCF of 31382 and 31399?

We will first find the prime factorization of 31382 and 31399. After we will calculate the factors of 31382 and 31399 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 31399

Prime factors of 31399 are 17, 1847. Prime factorization of 31399 in exponential form is:

31399 = 17¹ × 1847¹

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 31399

List of positive integer factors of 31399 that divides 31382 without a remainder.

1, 17, 1847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31382 and 31399. The biggest common factor number is the GCF number.
So the greatest common factor 31382 and 31399 is 17.

Also check out the Least Common Multiple of 31382 and 31399