What is the Greatest Common Factor of 58509 and 58515?

Greatest common factor (GCF) of 58509 and 58515 is 3.

GCF(58509,58515) = 3

We will now calculate the prime factors of 58509 and 58515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58509 and 58515.

How to find the GCF of 58509 and 58515?

We will first find the prime factorization of 58509 and 58515. After we will calculate the factors of 58509 and 58515 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58515

Prime factors of 58515 are 3, 5, 47, 83. Prime factorization of 58515 in exponential form is:

58515 = 3¹ × 5¹ × 47¹ × 83¹

Step-3: Factors of 58509

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

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

Step-4: Factors of 58515

List of positive integer factors of 58515 that divides 58509 without a remainder.

1, 3, 5, 15, 47, 83, 141, 235, 249, 415, 705, 1245, 3901, 11703, 19505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58509 and 58515. The biggest common factor number is the GCF number.
So the greatest common factor 58509 and 58515 is 3.

Also check out the Least Common Multiple of 58509 and 58515