What is the Greatest Common Factor of 58482 and 58498?

Greatest common factor (GCF) of 58482 and 58498 is 2.

GCF(58482,58498) = 2

We will now calculate the prime factors of 58482 and 58498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58482 and 58498.

How to find the GCF of 58482 and 58498?

We will first find the prime factorization of 58482 and 58498. After we will calculate the factors of 58482 and 58498 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 58498

Prime factors of 58498 are 2, 11, 2659. Prime factorization of 58498 in exponential form is:

58498 = 2¹ × 11¹ × 2659¹

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 58498

List of positive integer factors of 58498 that divides 58482 without a remainder.

1, 2, 11, 22, 2659, 5318, 29249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58482 and 58498. The biggest common factor number is the GCF number.
So the greatest common factor 58482 and 58498 is 2.

Also check out the Least Common Multiple of 58482 and 58498