What is the Greatest Common Factor of 58509 and 58521?

Greatest common factor (GCF) of 58509 and 58521 is 3.

GCF(58509,58521) = 3

We will now calculate the prime factors of 58509 and 58521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58509 and 58521.

How to find the GCF of 58509 and 58521?

We will first find the prime factorization of 58509 and 58521. After we will calculate the factors of 58509 and 58521 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 58521

Prime factors of 58521 are 3, 19507. Prime factorization of 58521 in exponential form is:

58521 = 3¹ × 19507¹

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 58521

List of positive integer factors of 58521 that divides 58509 without a remainder.

1, 3, 19507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58509 and 58521. The biggest common factor number is the GCF number.
So the greatest common factor 58509 and 58521 is 3.

Also check out the Least Common Multiple of 58509 and 58521