What is the Greatest Common Factor of 58501 and 58509?

Greatest common factor (GCF) of 58501 and 58509 is 1.

GCF(58501,58509) = 1

We will now calculate the prime factors of 58501 and 58509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58501 and 58509.

How to find the GCF of 58501 and 58509?

We will first find the prime factorization of 58501 and 58509. After we will calculate the factors of 58501 and 58509 and find the biggest common factor number .

Step-1: Prime Factorization of 58501

Prime factors of 58501 are 19, 3079. Prime factorization of 58501 in exponential form is:

58501 = 19¹ × 3079¹

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 58501

List of positive integer factors of 58501 that divides 58501 without a remainder.

1, 19, 3079

Step-4: Factors of 58509

List of positive integer factors of 58509 that divides 58501 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 58501 and 58509. The biggest common factor number is the GCF number.
So the greatest common factor 58501 and 58509 is 1.

Also check out the Least Common Multiple of 58501 and 58509