What is the Greatest Common Factor of 31369 and 31382?

Greatest common factor (GCF) of 31369 and 31382 is 13.

GCF(31369,31382) = 13

We will now calculate the prime factors of 31369 and 31382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31369 and 31382.

How to find the GCF of 31369 and 31382?

We will first find the prime factorization of 31369 and 31382. After we will calculate the factors of 31369 and 31382 and find the biggest common factor number .

Step-1: Prime Factorization of 31369

Prime factors of 31369 are 13, 19, 127. Prime factorization of 31369 in exponential form is:

31369 = 13¹ × 19¹ × 127¹

Step-2: 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-3: Factors of 31369

List of positive integer factors of 31369 that divides 31369 without a remainder.

1, 13, 19, 127, 247, 1651, 2413

Step-4: Factors of 31382

List of positive integer factors of 31382 that divides 31369 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31369 and 31382. The biggest common factor number is the GCF number.
So the greatest common factor 31369 and 31382 is 13.

Also check out the Least Common Multiple of 31369 and 31382