What is the Greatest Common Factor of 58077 and 58086?

Greatest common factor (GCF) of 58077 and 58086 is 9.

GCF(58077,58086) = 9

We will now calculate the prime factors of 58077 and 58086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58077 and 58086.

How to find the GCF of 58077 and 58086?

We will first find the prime factorization of 58077 and 58086. After we will calculate the factors of 58077 and 58086 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 58086

Prime factors of 58086 are 2, 3, 7, 461. Prime factorization of 58086 in exponential form is:

58086 = 2¹ × 3² × 7¹ × 461¹

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 58086

List of positive integer factors of 58086 that divides 58077 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 461, 922, 1383, 2766, 3227, 4149, 6454, 8298, 9681, 19362, 29043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58077 and 58086. The biggest common factor number is the GCF number.
So the greatest common factor 58077 and 58086 is 9.

Also check out the Least Common Multiple of 58077 and 58086