What is the Greatest Common Factor of 12654 and 12673?

Greatest common factor (GCF) of 12654 and 12673 is 19.

GCF(12654,12673) = 19

We will now calculate the prime factors of 12654 and 12673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12654 and 12673.

How to find the GCF of 12654 and 12673?

We will first find the prime factorization of 12654 and 12673. After we will calculate the factors of 12654 and 12673 and find the biggest common factor number .

Step-1: Prime Factorization of 12654

Prime factors of 12654 are 2, 3, 19, 37. Prime factorization of 12654 in exponential form is:

12654 = 2¹ × 3² × 19¹ × 37¹

Step-2: 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-3: Factors of 12654

List of positive integer factors of 12654 that divides 12654 without a remainder.

1, 2, 3, 6, 9, 18, 19, 37, 38, 57, 74, 111, 114, 171, 222, 333, 342, 666, 703, 1406, 2109, 4218, 6327

Step-4: Factors of 12673

List of positive integer factors of 12673 that divides 12654 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12654 and 12673. The biggest common factor number is the GCF number.
So the greatest common factor 12654 and 12673 is 19.

Also check out the Least Common Multiple of 12654 and 12673