What is the Greatest Common Factor of 23142 and 23160?

Greatest common factor (GCF) of 23142 and 23160 is 6.

GCF(23142,23160) = 6

We will now calculate the prime factors of 23142 and 23160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23142 and 23160.

How to find the GCF of 23142 and 23160?

We will first find the prime factorization of 23142 and 23160. After we will calculate the factors of 23142 and 23160 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 23160

Prime factors of 23160 are 2, 3, 5, 193. Prime factorization of 23160 in exponential form is:

23160 = 2³ × 3¹ × 5¹ × 193¹

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 23160

List of positive integer factors of 23160 that divides 23142 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 193, 386, 579, 772, 965, 1158, 1544, 1930, 2316, 2895, 3860, 4632, 5790, 7720, 11580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23142 and 23160. The biggest common factor number is the GCF number.
So the greatest common factor 23142 and 23160 is 6.

Also check out the Least Common Multiple of 23142 and 23160