What is the Greatest Common Factor of 23142 and 23149?

Greatest common factor (GCF) of 23142 and 23149 is 7.

GCF(23142,23149) = 7

We will now calculate the prime factors of 23142 and 23149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23142 and 23149.

How to find the GCF of 23142 and 23149?

We will first find the prime factorization of 23142 and 23149. After we will calculate the factors of 23142 and 23149 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 23149

Prime factors of 23149 are 7, 3307. Prime factorization of 23149 in exponential form is:

23149 = 7¹ × 3307¹

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 23149

List of positive integer factors of 23149 that divides 23142 without a remainder.

1, 7, 3307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23142 and 23149. The biggest common factor number is the GCF number.
So the greatest common factor 23142 and 23149 is 7.

Also check out the Least Common Multiple of 23142 and 23149