What is the Greatest Common Factor of 58050 and 58065?

Greatest common factor (GCF) of 58050 and 58065 is 15.

GCF(58050,58065) = 15

We will now calculate the prime factors of 58050 and 58065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58050 and 58065.

How to find the GCF of 58050 and 58065?

We will first find the prime factorization of 58050 and 58065. After we will calculate the factors of 58050 and 58065 and find the biggest common factor number .

Step-1: Prime Factorization of 58050

Prime factors of 58050 are 2, 3, 5, 43. Prime factorization of 58050 in exponential form is:

58050 = 2¹ × 3³ × 5² × 43¹

Step-2: Prime Factorization of 58065

Prime factors of 58065 are 3, 5, 7, 79. Prime factorization of 58065 in exponential form is:

58065 = 3¹ × 5¹ × 7² × 79¹

Step-3: Factors of 58050

List of positive integer factors of 58050 that divides 58050 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 43, 45, 50, 54, 75, 86, 90, 129, 135, 150, 215, 225, 258, 270, 387, 430, 450, 645, 675, 774, 1075, 1161, 1290, 1350, 1935, 2150, 2322, 3225, 3870, 5805, 6450, 9675, 11610, 19350, 29025

Step-4: Factors of 58065

List of positive integer factors of 58065 that divides 58050 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 79, 105, 147, 237, 245, 395, 553, 735, 1185, 1659, 2765, 3871, 8295, 11613, 19355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58050 and 58065. The biggest common factor number is the GCF number.
So the greatest common factor 58050 and 58065 is 15.

Also check out the Least Common Multiple of 58050 and 58065