What is the Greatest Common Factor of 12673 and 12692?

Greatest common factor (GCF) of 12673 and 12692 is 19.

GCF(12673,12692) = 19

We will now calculate the prime factors of 12673 and 12692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12673 and 12692.

How to find the GCF of 12673 and 12692?

We will first find the prime factorization of 12673 and 12692. After we will calculate the factors of 12673 and 12692 and find the biggest common factor number .

Step-1: Prime Factorization of 12673

Prime factors of 12673 are 19, 23, 29. Prime factorization of 12673 in exponential form is:

12673 = 19¹ × 23¹ × 29¹

Step-2: Prime Factorization of 12692

Prime factors of 12692 are 2, 19, 167. Prime factorization of 12692 in exponential form is:

12692 = 2² × 19¹ × 167¹

Step-3: Factors of 12673

List of positive integer factors of 12673 that divides 12673 without a remainder.

1, 19, 23, 29, 437, 551, 667

Step-4: Factors of 12692

List of positive integer factors of 12692 that divides 12673 without a remainder.

1, 2, 4, 19, 38, 76, 167, 334, 668, 3173, 6346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12673 and 12692. The biggest common factor number is the GCF number.
So the greatest common factor 12673 and 12692 is 19.

Also check out the Least Common Multiple of 12673 and 12692