What is the Greatest Common Factor of 12654 and 12669?

Greatest common factor (GCF) of 12654 and 12669 is 3.

GCF(12654,12669) = 3

We will now calculate the prime factors of 12654 and 12669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12654 and 12669.

How to find the GCF of 12654 and 12669?

We will first find the prime factorization of 12654 and 12669. After we will calculate the factors of 12654 and 12669 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 12669

Prime factors of 12669 are 3, 41, 103. Prime factorization of 12669 in exponential form is:

12669 = 3¹ × 41¹ × 103¹

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 12669

List of positive integer factors of 12669 that divides 12654 without a remainder.

1, 3, 41, 103, 123, 309, 4223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12654 and 12669. The biggest common factor number is the GCF number.
So the greatest common factor 12654 and 12669 is 3.

Also check out the Least Common Multiple of 12654 and 12669