What is the Greatest Common Factor of 31374 and 31383?

Greatest common factor (GCF) of 31374 and 31383 is 9.

GCF(31374,31383) = 9

We will now calculate the prime factors of 31374 and 31383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31374 and 31383.

How to find the GCF of 31374 and 31383?

We will first find the prime factorization of 31374 and 31383. After we will calculate the factors of 31374 and 31383 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 31383

Prime factors of 31383 are 3, 11, 317. Prime factorization of 31383 in exponential form is:

31383 = 3² × 11¹ × 317¹

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 31383

List of positive integer factors of 31383 that divides 31374 without a remainder.

1, 3, 9, 11, 33, 99, 317, 951, 2853, 3487, 10461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31374 and 31383. The biggest common factor number is the GCF number.
So the greatest common factor 31374 and 31383 is 9.

Also check out the Least Common Multiple of 31374 and 31383