What is the Greatest Common Factor of 58498 and 58509?

Greatest common factor (GCF) of 58498 and 58509 is 11.

GCF(58498,58509) = 11

We will now calculate the prime factors of 58498 and 58509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58498 and 58509.

How to find the GCF of 58498 and 58509?

We will first find the prime factorization of 58498 and 58509. After we will calculate the factors of 58498 and 58509 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58509

Prime factors of 58509 are 3, 11, 197. Prime factorization of 58509 in exponential form is:

58509 = 3³ × 11¹ × 197¹

Step-3: Factors of 58498

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

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

Step-4: Factors of 58509

List of positive integer factors of 58509 that divides 58498 without a remainder.

1, 3, 9, 11, 27, 33, 99, 197, 297, 591, 1773, 2167, 5319, 6501, 19503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58498 and 58509. The biggest common factor number is the GCF number.
So the greatest common factor 58498 and 58509 is 11.

Also check out the Least Common Multiple of 58498 and 58509