What is the Greatest Common Factor of 58065 and 58083?

Greatest common factor (GCF) of 58065 and 58083 is 3.

GCF(58065,58083) = 3

We will now calculate the prime factors of 58065 and 58083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58065 and 58083.

How to find the GCF of 58065 and 58083?

We will first find the prime factorization of 58065 and 58083. After we will calculate the factors of 58065 and 58083 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 58083

Prime factors of 58083 are 3, 19, 1019. Prime factorization of 58083 in exponential form is:

58083 = 3¹ × 19¹ × 1019¹

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 58083

List of positive integer factors of 58083 that divides 58065 without a remainder.

1, 3, 19, 57, 1019, 3057, 19361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58065 and 58083. The biggest common factor number is the GCF number.
So the greatest common factor 58065 and 58083 is 3.

Also check out the Least Common Multiple of 58065 and 58083