What is the Greatest Common Factor of 58482 and 58499?

Greatest common factor (GCF) of 58482 and 58499 is 1.

GCF(58482,58499) = 1

We will now calculate the prime factors of 58482 and 58499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58482 and 58499.

How to find the GCF of 58482 and 58499?

We will first find the prime factorization of 58482 and 58499. After we will calculate the factors of 58482 and 58499 and find the biggest common factor number .

Step-1: Prime Factorization of 58482

Prime factors of 58482 are 2, 3, 19. Prime factorization of 58482 in exponential form is:

58482 = 2¹ × 3⁴ × 19²

Step-2: Prime Factorization of 58499

Prime factors of 58499 are 7, 61, 137. Prime factorization of 58499 in exponential form is:

58499 = 7¹ × 61¹ × 137¹

Step-3: Factors of 58482

List of positive integer factors of 58482 that divides 58482 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 342, 361, 513, 722, 1026, 1083, 1539, 2166, 3078, 3249, 6498, 9747, 19494, 29241

Step-4: Factors of 58499

List of positive integer factors of 58499 that divides 58482 without a remainder.

1, 7, 61, 137, 427, 959, 8357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58482 and 58499. The biggest common factor number is the GCF number.
So the greatest common factor 58482 and 58499 is 1.

Also check out the Least Common Multiple of 58482 and 58499