What is the Greatest Common Factor of 58146 and 58159?

Greatest common factor (GCF) of 58146 and 58159 is 1.

GCF(58146,58159) = 1

We will now calculate the prime factors of 58146 and 58159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58146 and 58159.

How to find the GCF of 58146 and 58159?

We will first find the prime factorization of 58146 and 58159. After we will calculate the factors of 58146 and 58159 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 58159

Prime factors of 58159 are 19, 3061. Prime factorization of 58159 in exponential form is:

58159 = 19¹ × 3061¹

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 58159

List of positive integer factors of 58159 that divides 58146 without a remainder.

1, 19, 3061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58146 and 58159. The biggest common factor number is the GCF number.
So the greatest common factor 58146 and 58159 is 1.

Also check out the Least Common Multiple of 58146 and 58159