What is the Greatest Common Factor of 31374 and 31388?

Greatest common factor (GCF) of 31374 and 31388 is 14.

GCF(31374,31388) = 14

We will now calculate the prime factors of 31374 and 31388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31374 and 31388.

How to find the GCF of 31374 and 31388?

We will first find the prime factorization of 31374 and 31388. After we will calculate the factors of 31374 and 31388 and find the biggest common factor number .

Step-1: Prime Factorization of 31374

Prime factors of 31374 are 2, 3, 7, 83. Prime factorization of 31374 in exponential form is:

31374 = 2¹ × 3³ × 7¹ × 83¹

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 31374

List of positive integer factors of 31374 that divides 31374 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 83, 126, 166, 189, 249, 378, 498, 581, 747, 1162, 1494, 1743, 2241, 3486, 4482, 5229, 10458, 15687

Step-4: Factors of 31388

List of positive integer factors of 31388 that divides 31374 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 31374 and 31388. The biggest common factor number is the GCF number.
So the greatest common factor 31374 and 31388 is 14.

Also check out the Least Common Multiple of 31374 and 31388