What is the Greatest Common Factor of 58374 and 58381?

Greatest common factor (GCF) of 58374 and 58381 is 1.

GCF(58374,58381) = 1

We will now calculate the prime factors of 58374 and 58381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58374 and 58381.

How to find the GCF of 58374 and 58381?

We will first find the prime factorization of 58374 and 58381. After we will calculate the factors of 58374 and 58381 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 58381

Prime factors of 58381 are 79, 739. Prime factorization of 58381 in exponential form is:

58381 = 79¹ × 739¹

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 58381

List of positive integer factors of 58381 that divides 58374 without a remainder.

1, 79, 739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58374 and 58381. The biggest common factor number is the GCF number.
So the greatest common factor 58374 and 58381 is 1.

Also check out the Least Common Multiple of 58374 and 58381