What is the Greatest Common Factor of 31388 and 31398?

Greatest common factor (GCF) of 31388 and 31398 is 2.

GCF(31388,31398) = 2

We will now calculate the prime factors of 31388 and 31398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31388 and 31398.

How to find the GCF of 31388 and 31398?

We will first find the prime factorization of 31388 and 31398. After we will calculate the factors of 31388 and 31398 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31398

Prime factors of 31398 are 2, 3, 5233. Prime factorization of 31398 in exponential form is:

31398 = 2¹ × 3¹ × 5233¹

Step-3: Factors of 31388

List of positive integer factors of 31388 that divides 31388 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

Step-4: Factors of 31398

List of positive integer factors of 31398 that divides 31388 without a remainder.

1, 2, 3, 6, 5233, 10466, 15699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31388 and 31398. The biggest common factor number is the GCF number.
So the greatest common factor 31388 and 31398 is 2.

Also check out the Least Common Multiple of 31388 and 31398