What is the Greatest Common Factor of 23158 and 23162?

Greatest common factor (GCF) of 23158 and 23162 is 2.

GCF(23158,23162) = 2

We will now calculate the prime factors of 23158 and 23162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23158 and 23162.

How to find the GCF of 23158 and 23162?

We will first find the prime factorization of 23158 and 23162. After we will calculate the factors of 23158 and 23162 and find the biggest common factor number .

Step-1: Prime Factorization of 23158

Prime factors of 23158 are 2, 11579. Prime factorization of 23158 in exponential form is:

23158 = 2¹ × 11579¹

Step-2: Prime Factorization of 23162

Prime factors of 23162 are 2, 37, 313. Prime factorization of 23162 in exponential form is:

23162 = 2¹ × 37¹ × 313¹

Step-3: Factors of 23158

List of positive integer factors of 23158 that divides 23158 without a remainder.

1, 2, 11579

Step-4: Factors of 23162

List of positive integer factors of 23162 that divides 23158 without a remainder.

1, 2, 37, 74, 313, 626, 11581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23158 and 23162. The biggest common factor number is the GCF number.
So the greatest common factor 23158 and 23162 is 2.

Also check out the Least Common Multiple of 23158 and 23162