What is the Greatest Common Factor of 58374 and 58382?

Greatest common factor (GCF) of 58374 and 58382 is 2.

GCF(58374,58382) = 2

We will now calculate the prime factors of 58374 and 58382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58374 and 58382.

How to find the GCF of 58374 and 58382?

We will first find the prime factorization of 58374 and 58382. After we will calculate the factors of 58374 and 58382 and find the biggest common factor number .

Step-1: Prime Factorization of 58374

Prime factors of 58374 are 2, 3, 23, 47. Prime factorization of 58374 in exponential form is:

58374 = 2¹ × 3³ × 23¹ × 47¹

Step-2: Prime Factorization of 58382

Prime factors of 58382 are 2, 29191. Prime factorization of 58382 in exponential form is:

58382 = 2¹ × 29191¹

Step-3: Factors of 58374

List of positive integer factors of 58374 that divides 58374 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 46, 47, 54, 69, 94, 138, 141, 207, 282, 414, 423, 621, 846, 1081, 1242, 1269, 2162, 2538, 3243, 6486, 9729, 19458, 29187

Step-4: Factors of 58382

List of positive integer factors of 58382 that divides 58374 without a remainder.

1, 2, 29191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58374 and 58382. The biggest common factor number is the GCF number.
So the greatest common factor 58374 and 58382 is 2.

Also check out the Least Common Multiple of 58374 and 58382