What is the Greatest Common Factor of 58133 and 58146?

Greatest common factor (GCF) of 58133 and 58146 is 1.

GCF(58133,58146) = 1

We will now calculate the prime factors of 58133 and 58146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58133 and 58146.

How to find the GCF of 58133 and 58146?

We will first find the prime factorization of 58133 and 58146. After we will calculate the factors of 58133 and 58146 and find the biggest common factor number .

Step-1: Prime Factorization of 58133

Prime factors of 58133 are 61, 953. Prime factorization of 58133 in exponential form is:

58133 = 61¹ × 953¹

Step-2: 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-3: Factors of 58133

List of positive integer factors of 58133 that divides 58133 without a remainder.

1, 61, 953

Step-4: Factors of 58146

List of positive integer factors of 58146 that divides 58133 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58133 and 58146. The biggest common factor number is the GCF number.
So the greatest common factor 58133 and 58146 is 1.

Also check out the Least Common Multiple of 58133 and 58146