What is the Greatest Common Factor of 31382 and 31388?

Greatest common factor (GCF) of 31382 and 31388 is 2.

GCF(31382,31388) = 2

We will now calculate the prime factors of 31382 and 31388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31382 and 31388.

How to find the GCF of 31382 and 31388?

We will first find the prime factorization of 31382 and 31388. After we will calculate the factors of 31382 and 31388 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 31388

Prime factors of 31388 are 2, 7, 19, 59. Prime factorization of 31388 in exponential form is:

31388 = 2² × 7¹ × 19¹ × 59¹

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 31388

List of positive integer factors of 31388 that divides 31382 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 59, 76, 118, 133, 236, 266, 413, 532, 826, 1121, 1652, 2242, 4484, 7847, 15694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31382 and 31388. The biggest common factor number is the GCF number.
So the greatest common factor 31382 and 31388 is 2.

Also check out the Least Common Multiple of 31382 and 31388