What is the Greatest Common Factor of 58146 and 58162?

Greatest common factor (GCF) of 58146 and 58162 is 2.

GCF(58146,58162) = 2

We will now calculate the prime factors of 58146 and 58162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58146 and 58162.

How to find the GCF of 58146 and 58162?

We will first find the prime factorization of 58146 and 58162. After we will calculate the factors of 58146 and 58162 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 58162

Prime factors of 58162 are 2, 13, 2237. Prime factorization of 58162 in exponential form is:

58162 = 2¹ × 13¹ × 2237¹

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 58162

List of positive integer factors of 58162 that divides 58146 without a remainder.

1, 2, 13, 26, 2237, 4474, 29081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58146 and 58162. The biggest common factor number is the GCF number.
So the greatest common factor 58146 and 58162 is 2.

Also check out the Least Common Multiple of 58146 and 58162