What is the Greatest Common Factor of 23138 and 23142?

Greatest common factor (GCF) of 23138 and 23142 is 2.

GCF(23138,23142) = 2

We will now calculate the prime factors of 23138 and 23142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23138 and 23142.

How to find the GCF of 23138 and 23142?

We will first find the prime factorization of 23138 and 23142. After we will calculate the factors of 23138 and 23142 and find the biggest common factor number .

Step-1: Prime Factorization of 23138

Prime factors of 23138 are 2, 23, 503. Prime factorization of 23138 in exponential form is:

23138 = 2¹ × 23¹ × 503¹

Step-2: 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-3: Factors of 23138

List of positive integer factors of 23138 that divides 23138 without a remainder.

1, 2, 23, 46, 503, 1006, 11569

Step-4: Factors of 23142

List of positive integer factors of 23142 that divides 23138 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23138 and 23142. The biggest common factor number is the GCF number.
So the greatest common factor 23138 and 23142 is 2.

Also check out the Least Common Multiple of 23138 and 23142