What is the Greatest Common Factor of 58146 and 58165?

Greatest common factor (GCF) of 58146 and 58165 is 1.

GCF(58146,58165) = 1

We will now calculate the prime factors of 58146 and 58165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58146 and 58165.

How to find the GCF of 58146 and 58165?

We will first find the prime factorization of 58146 and 58165. After we will calculate the factors of 58146 and 58165 and find the biggest common factor number .

Step-1: Prime Factorization of 58146

Prime factors of 58146 are 2, 3, 11, 881. Prime factorization of 58146 in exponential form is:

58146 = 2¹ × 3¹ × 11¹ × 881¹

Step-2: Prime Factorization of 58165

Prime factors of 58165 are 5, 11633. Prime factorization of 58165 in exponential form is:

58165 = 5¹ × 11633¹

Step-3: Factors of 58146

List of positive integer factors of 58146 that divides 58146 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 881, 1762, 2643, 5286, 9691, 19382, 29073

Step-4: Factors of 58165

List of positive integer factors of 58165 that divides 58146 without a remainder.

1, 5, 11633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58146 and 58165. The biggest common factor number is the GCF number.
So the greatest common factor 58146 and 58165 is 1.

Also check out the Least Common Multiple of 58146 and 58165