What is the Greatest Common Factor of 58142 and 58146?

Greatest common factor (GCF) of 58142 and 58146 is 2.

GCF(58142,58146) = 2

We will now calculate the prime factors of 58142 and 58146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58142 and 58146.

How to find the GCF of 58142 and 58146?

We will first find the prime factorization of 58142 and 58146. After we will calculate the factors of 58142 and 58146 and find the biggest common factor number .

Step-1: Prime Factorization of 58142

Prime factors of 58142 are 2, 7, 4153. Prime factorization of 58142 in exponential form is:

58142 = 2¹ × 7¹ × 4153¹

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 58142

List of positive integer factors of 58142 that divides 58142 without a remainder.

1, 2, 7, 14, 4153, 8306, 29071

Step-4: Factors of 58146

List of positive integer factors of 58146 that divides 58142 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 58142 and 58146. The biggest common factor number is the GCF number.
So the greatest common factor 58142 and 58146 is 2.

Also check out the Least Common Multiple of 58142 and 58146