What is the Greatest Common Factor of 23142 and 23157?

Greatest common factor (GCF) of 23142 and 23157 is 3.

GCF(23142,23157) = 3

We will now calculate the prime factors of 23142 and 23157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23142 and 23157.

How to find the GCF of 23142 and 23157?

We will first find the prime factorization of 23142 and 23157. After we will calculate the factors of 23142 and 23157 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 23157

Prime factors of 23157 are 3, 31, 83. Prime factorization of 23157 in exponential form is:

23157 = 3² × 31¹ × 83¹

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 23157

List of positive integer factors of 23157 that divides 23142 without a remainder.

1, 3, 9, 31, 83, 93, 249, 279, 747, 2573, 7719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23142 and 23157. The biggest common factor number is the GCF number.
So the greatest common factor 23142 and 23157 is 3.

Also check out the Least Common Multiple of 23142 and 23157