What is the Greatest Common Factor of 58077 and 58095?

Greatest common factor (GCF) of 58077 and 58095 is 9.

GCF(58077,58095) = 9

We will now calculate the prime factors of 58077 and 58095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58077 and 58095.

How to find the GCF of 58077 and 58095?

We will first find the prime factorization of 58077 and 58095. After we will calculate the factors of 58077 and 58095 and find the biggest common factor number .

Step-1: Prime Factorization of 58077

Prime factors of 58077 are 3, 239. Prime factorization of 58077 in exponential form is:

58077 = 3⁵ × 239¹

Step-2: Prime Factorization of 58095

Prime factors of 58095 are 3, 5, 1291. Prime factorization of 58095 in exponential form is:

58095 = 3² × 5¹ × 1291¹

Step-3: Factors of 58077

List of positive integer factors of 58077 that divides 58077 without a remainder.

1, 3, 9, 27, 81, 239, 243, 717, 2151, 6453, 19359

Step-4: Factors of 58095

List of positive integer factors of 58095 that divides 58077 without a remainder.

1, 3, 5, 9, 15, 45, 1291, 3873, 6455, 11619, 19365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58077 and 58095. The biggest common factor number is the GCF number.
So the greatest common factor 58077 and 58095 is 9.

Also check out the Least Common Multiple of 58077 and 58095