What is the Greatest Common Factor of 23142 and 23158?

Greatest common factor (GCF) of 23142 and 23158 is 2.

GCF(23142,23158) = 2

We will now calculate the prime factors of 23142 and 23158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23142 and 23158.

How to find the GCF of 23142 and 23158?

We will first find the prime factorization of 23142 and 23158. After we will calculate the factors of 23142 and 23158 and find the biggest common factor number .

Step-1: Prime Factorization of 23142

Prime factors of 23142 are 2, 3, 7, 19, 29. Prime factorization of 23142 in exponential form is:

23142 = 2¹ × 3¹ × 7¹ × 19¹ × 29¹

Step-2: Prime Factorization of 23158

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

23158 = 2¹ × 11579¹

Step-3: Factors of 23142

List of positive integer factors of 23142 that divides 23142 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 29, 38, 42, 57, 58, 87, 114, 133, 174, 203, 266, 399, 406, 551, 609, 798, 1102, 1218, 1653, 3306, 3857, 7714, 11571

Step-4: Factors of 23158

List of positive integer factors of 23158 that divides 23142 without a remainder.

1, 2, 11579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23142 and 23158. The biggest common factor number is the GCF number.
So the greatest common factor 23142 and 23158 is 2.

Also check out the Least Common Multiple of 23142 and 23158