What is the Greatest Common Factor of 31374 and 31389?

Greatest common factor (GCF) of 31374 and 31389 is 3.

GCF(31374,31389) = 3

We will now calculate the prime factors of 31374 and 31389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31374 and 31389.

How to find the GCF of 31374 and 31389?

We will first find the prime factorization of 31374 and 31389. After we will calculate the factors of 31374 and 31389 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 31389

Prime factors of 31389 are 3, 10463. Prime factorization of 31389 in exponential form is:

31389 = 3¹ × 10463¹

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 31389

List of positive integer factors of 31389 that divides 31374 without a remainder.

1, 3, 10463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31374 and 31389. The biggest common factor number is the GCF number.
So the greatest common factor 31374 and 31389 is 3.

Also check out the Least Common Multiple of 31374 and 31389