What is the Greatest Common Factor of 23128 and 23142?

Greatest common factor (GCF) of 23128 and 23142 is 14.

GCF(23128,23142) = 14

We will now calculate the prime factors of 23128 and 23142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23128 and 23142.

How to find the GCF of 23128 and 23142?

We will first find the prime factorization of 23128 and 23142. After we will calculate the factors of 23128 and 23142 and find the biggest common factor number .

Step-1: Prime Factorization of 23128

Prime factors of 23128 are 2, 7, 59. Prime factorization of 23128 in exponential form is:

23128 = 2³ × 7² × 59¹

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 23128

List of positive integer factors of 23128 that divides 23128 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 59, 98, 118, 196, 236, 392, 413, 472, 826, 1652, 2891, 3304, 5782, 11564

Step-4: Factors of 23142

List of positive integer factors of 23142 that divides 23128 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 23128 and 23142. The biggest common factor number is the GCF number.
So the greatest common factor 23128 and 23142 is 14.

Also check out the Least Common Multiple of 23128 and 23142