What is the Greatest Common Factor of 58065 and 58073?

Greatest common factor (GCF) of 58065 and 58073 is 1.

GCF(58065,58073) = 1

We will now calculate the prime factors of 58065 and 58073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58065 and 58073.

How to find the GCF of 58065 and 58073?

We will first find the prime factorization of 58065 and 58073. After we will calculate the factors of 58065 and 58073 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58073

Prime factors of 58073 are 58073. Prime factorization of 58073 in exponential form is:

58073 = 58073¹

Step-3: Factors of 58065

List of positive integer factors of 58065 that divides 58065 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

Step-4: Factors of 58073

List of positive integer factors of 58073 that divides 58065 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58065 and 58073. The biggest common factor number is the GCF number.
So the greatest common factor 58065 and 58073 is 1.

Also check out the Least Common Multiple of 58065 and 58073